GMAT Permutation Probability Basics | Getting Started Part 1

GMAT Online Preparation | Permutation Probability Basics Part 1 of 2
You can watch part 2 @ • GMAT Permutation Combi...
Introduction to elementary concepts in permutation combination and probability for GMAT. This intro video covers the following basics
1. What is the basic rule of counting in permutation combination?
2. What is the basic rule of product?
3. What is the basic rule of sum?
4. What is a repeated sampling where order matters?
5. What is a repeated sampling where order does not matter?
6. How to determine whether order matters or order does not matter?
7. In how many ways can 'n' distinct objects be reordered or rearranged?
8. In how many ways can 'n' alike objects be reordered or rearranged?
9. In how many ways can 'n' objects of which 'x' are alike and one kind be reordered or rearranged?
10. What is a repeated sampling with replacement?
11. What is a repeated sampling without replacement?
Each of these questions has been answered and the discussion includes basic examples and easy permutation combination questions to get started with the topic.
You could expect 2 to 3 questions from this topic in the GMAT quant section.
Watch the second part of the live stream of GMAT permutation combination at 2130 hours IST on Fri, Sep 28, 2018.
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[@GauravSingh-rm1tb]

“An intellectual says a simple thing in a hard way. An artist says a hard thing in a simple way.” sir you are an artist.

[@Wizako]

Thanks Gaurav! The feedback and the interesting comment are much appreciated!

[@ritikakapoor31]

I wish he was my professor throughout school. He gives you such a good foundation of all topics. Love these videos. Great work!

[@mohitvirmani5677]

What a great man you are sir. I am simply a fan of yours . God bless you very much.

[@TheTestedTutor]

This is super comprehensive, much more than I covered in my shorter intro video.

[@Wizako]

Hello The Tested Tutor Thanks for your feedback. The getting started series has a few more videos that may be of interest to you. Here is the link to the Playlist kzbin.info/aero/PL3JsYBL14ZltnwdqUt7NTyx9wUzVh-OZu

[@ashishsinha9035]

You are a truly great human being. Very few people rate themselves lesser than others.

[@harsha.bhatlapenumarthy]

Sir, sincere thanks for the effort you've put in to make these videos. I went from scoring ~30s during practice tests to Q-45 in the actual test, and your channel played a key role in my preparation. Thanks again!

[@Wizako]

Thanks Harsha for your comment and review about how the channel helped you. Your review means a lot and makes all the effort that goes into creating content for the channel worth the effort. Best wishes with your B school application process. Please stay connected with the channel for application tips and B school news. Cheers

[@salehinshahriar6762]

You can't fathom how grateful I am for all of your lessons. Thanks a ton.

[@Wizako]

Glad to hear that. Best wishes for your GMAT prep.

[@javirettig96]

I'm so thankful for this video series, it has helped me a lot in my preparation. Your explanations are very clear and simple. Keep the good work.

[@Wizako]

Hello Javiera Thanks for your feedback. I would recommend that you try the first topic (which is free) - Statistics and Average in our online GMAT quant course by signing up as a trial user. You could sign up at wzko.in/core

[@riyavishwakarma3701]

Dear Bhaskar, thank you so very much for making this video for us!

[@Wizako]

Glad you liked it! Best of luck for your GMAT prep.

[@prateekgill27]

Sir, I am from a MBBS background with a predilection towards Mathematics, and am also looking forward to pursue GMAT..... The way you explained Permutation and combination through this video was absolutely AMAZING!!!!!! 💯 I am fairly decent with basic maths, but I thought I'd need some good maths book to get a hang of P&C, but the way you clarified concepts in this video was absolutely amazing! Greatly indebted to you!! 🙏☺️

[@Wizako]

Thanks Dr Gill for sharing your feedback and for your words of appreciation. There is a sequel to this video. If you have not watched it, here is the link kzbin.info/www/bejne/f6q0hZqBfZx1brc Best wishes

[@prateekgill27]

@@Wizako I started watching the sequel already sir, thanks for the reply. Keep making such good, explanatory content sir..... You are doing a great job! 💯☺️🙏

[@Neo-n9k]

Wow factorial explained like never before. Thank you so much!!

[@Wizako]

Glad you found it useful! Best wishes for your GMAT!

[@mishraaparna]

Thank you, sir. I needed a lecture like this as my basics were not strong. This lecture was helpful. ... and sir the four questions you asked in the end, can you please tell the numeric answers, I mean how to solve them?

[@yuvanuechauhan2742]

1.order matters-without replacement 2.order matters -with replacement 3.order matters-without replacement 4.order does not matters-with replacement

[@UMANG4162]

No, your answers are not correct. 1- order doesn't matter 3- order doesn't matter 4- order matters

[@rachelpereira6343]

Such a great explanation , my fear vanished after video on this topic . Thanks

[@Wizako]

Hello Rachel, Thanks for your feedback. Best wishes for your GMAT.

[@mahletabebe2213]

You are an excellent instructor. Thank you 🙏

[@Wizako]

Glad it was helpful! Cheers and best wishes for your GMAT prep!!

[@sakshisharma4920]

Amazing explanation and Video

[@Wizako]

Hello Sakshi, Glad you liked it! 😀 Cheers & Best Wishes for your GMAT Prep!

[@shobhitgupta8816]

Sir, Your Videos are very nice and Thanks a lot for making this difficult topics very easy for us.☺️☺️

[@mehul4970]

sir ur a pretty good quant gmat tutor, thanks for d video

[@sreenialuri8509]

Amazing explained....simplified and holistic

[@Wizako]

Glad it was helpful Sreeni! Do check out Part II as well if you haven't already: kzbin.info/www/bejne/f6q0hZqBfZx1brc Best Wishes!

[@ashishsinha9035]

Very nice

[@Wizako]

🙌

[@asparagii]

thanks for the video. That was helpful

[@anushridicholkar2961]

1 - order doesnt matter without replacement 2 - order matters with replacement 3 - order doesn't matter without replacement 4 - order matters with replacement

[@gagantakkar5779]

Wonder full session. Your explanation skill and thought process is top notch. Thank you very much !

[@Wizako]

Thank you very much for sharing your feedback.

[@chizaraolughu906]

Thank you sir. This was very helpful and easy to understand.

[@Wizako]

Glad you found it helpful! Don't forget to check out Part II if you haven't already: kzbin.info/www/bejne/f6q0hZqBfZx1brc Best wishes for your preparation!

[@rajivmehta5631]

Hi, Amazing work with the video, very concise. what are the answers to the questions? These are my answers. Q1. Order: doesn't matter. without replacement Q2. Order: doesn't matter. with replacement Q3. Order: matters. without replacement Q4. Order: matters. with replacement

[@Wizako]

Q1 : Answer correct. Q2 : order MATTERS. We are selecting for 2 different posts. With replacement Q3 : order DOES NOT matter. The reason for selection is the same. So, order does not matter. Without replacement. Q4 : Answer correct

[@poojabhavsar2944]

Q 2 order doesn't matter because member committee can be choosen either way first or second

[@kalyanbiswal7771]

beautiful session waiting for the second session

[@wizakosat9067]

Thanks for your feedback. If you have any specific questions in permutation or probability that you will like the second session to cover, please leave a comment.

[@kalyanbiswal7771]

Wizako SAT I just need to know when the second session will happen. I feel the sessions are good enough when it comes to covering everything

[@dj18023]

Best possible Explanation thanks a ton sir

[@Wizako]

We're glad that you enjoyed our Permutation and Probability video. Thank you. Check out these free practice questions to put your newfound knowledge to the test! practice-questions.wizako.com/gmat/quant/permutation-combination-probability/

[@siddhisawant2107]

1. Without replacement 2. With replacement 3. Without replacement 4. With replacement Order does not matter in any of 4 questions. Is this right, sir?

[@Wizako]

Hi Siddhi, All are absolutely spot on!! Cheers & best wishes!!

[@onajitetaire]

@@Wizako I don't understand how order does not matter in the last one. For example in the case of password, CAT is not equal to ACT, and so shouldn't the order matter and therefore it is 2 events?

[@sakshimittal9094]

Thankyou sir

[@kumarshubham9158]

Hi Baskar Sir, I have a doubt on the 1st question that you posted in the 42nd minute. Again, I had paused and started solving the questions by my own, which would be the most idle way of learning and evaluating my own-self. My solutions goes as follows: Since there are 3 types and we need groups of 2 each time: 3!/2! = 3 And, since there are 5 flowers of each type in the bouquet, that's clearly mentioned in the question, there is going to be a total of 10 flowers that can be arranged in: 10!/(5!*5!) ways. So my final solution came out to be: 3*10!/(5!*5!). The part (42nd min, 40th sec) wherein you said "That 5 flowers of each type could be 5, could be 7, could be 1" didn't make much sense to me as it is clearly mentioned for one bouquet to be made 2 types of flowers are used and 5 of each types are considered, i.e., to say a bouquet of "10 flowers" are being prepared. It's like I went through your solution and then re-winded to the question and read it word-to-word to get the same solution that i presented above and my only concern is I might do the same in my GMAT exam. Baskar Sir, please tell me where did I go wrong. Also, let me know how exactly the question would have been framed that my solution would have been considered correct. Also, for the 2nd question please frame a formula for us students because when we consider 3 types of flowers, having a group of 2(considering both same and different types), it was easy to calculate it out, that came out to be 6(VR, RJ, VJ, VV, RR, JJ). Now I change the question and made it 4, solution is going to be 10 (VR, VJ, VL, RJ, RL, JL, VV, RR, JJ, LL). I again changed the question and made it 5 and the solution came out to be 15. The thing is as a student, I understood the concept what you were trying to explain, but I still didn't get the formula for it, which is important for me so that I will be able to confidently crack a question wherein instead of 3 flowers, 10 or any number of flowers are given and I don't have to manually figure out how many bouquets can be made from them taking 2 at one go. Awaiting your reply and hitting your 2nd part of this same topic. Thank you so much, Shubham.

[@Exodias2000]

Also interested in the formula for understanding the above mentioned unless you figured it out in 45:45. I initially did 3!*3!/(2*1) which is obv. wrong and had to draw out the options. Not an option if the sample size gets larger and would appreciate the help with understanding the formula to help with this when dealing with repetition being allowed.

[@kolapallibhargavram9231]

thank yo so much for the session sir. It really made my basics clear.

[@Wizako]

Glad to hear that. There is a sequel to this video. If you have not watched it, please watch it. The video is part of this playlist kzbin.info/aero/PL3JsYBL14ZltnwdqUt7NTyx9wUzVh-OZu

[@zaboono5795]

good video, thanks!

[@Wizako]

Glad you liked it!

[@imslogic]

For the question "in how many ways can a finance comm. member and an alumni comm. member be selected from a group of 3 students," is the answer 9?

[@Wizako]

That's correct Imran!

[@bilalasathar]

In the 3rd question, 3 cards has to be selected at random from pack of cards, so it can be done with replacement right ?

[@Wizako]

Hello Bilal Had it been an example of sampling with replacement this is what would have happened 1. You pick a card. Put it back. (You have replaced it) You have no card with you. 2. You pick a card. Put it back. (You have replaced it). You have no card with you. 3. You pick a card. So, how many cards do you have now? You will be left with just one card with you. If you have to have 3 cards with you, that is possible only when you have not replaced the cards. Anytime you read, select 3 or 4 people, 3 or 4 objects at random, we are talking about sampling without replacement.

[@imslogic]

For the question "can 2 students be selected from a group of 3 students, one each for the finance committee and the alumni committee," is the answer 6?

[@Wizako]

Yes, that's right!!

[@rajshekharghosh2]

Thank you sir for sharing this.

[@Wizako]

Thanks for your feedback. The getting started series has 4 videos. Not sure whether you watched all of them. Here is the link to the playlist in case you have not - kzbin.info/aero/PL3JsYBL14ZltnwdqUt7NTyx9wUzVh-OZu

[@apaarjain]

Hi sir, Is there any difference between the two languages? 1} "In how many can three cards be selected at random"? and 2} "In how many ways can we have three cards as our selection"? What i mean to ask is whether order of selection matters in the first language?

[@Wizako]

Hello Apaar Both these options (the way you have worded) will mean selecting where the order does not matter.

[@rishinijhawan7844]

for professors case order doesn't matter , without replacement 4 music club & sports club order doesn't matter , with replacement 3 cards order doesn't matter, without replacement password order matters with replacement reply soon i m anxius

[@Wizako]

Hello Rishi 1. Professors example - you are absolutely right 2. Music Club & Sports club - the correct answer is Order Matters. With Replacement. 3. 3 cards - you are right. 4. Password - you are right.

[@ujjwalsingh4314]

@@Wizako for q4- if i select my password AAA...in that case order will not matter. Please clarify on this. thank you for your valuable video.

[@psblossom]

True artist

[@Wizako]

Thanks for your feedback. Not sure whether you watched the other videos in the getting started series. kzbin.info/aero/PL3JsYBL14ZltnwdqUt7NTyx9wUzVh-OZu

[@pawanpathak100]

Respected Sir, do we have any video on Probability advance concepts on your channel?

[@Wizako]

Hello Pawan The online course @ wzko.in/core has all the relevant concepts tested in the GMAT. The two concept videos uploaded on the YT channel help one get started and have clarity on the basics.

[@shrutighughal8171]

Please tell what’s the answer for the last four questions ??

[@Wizako]

Spoiler Alert for anyone who wishes to solve the questions by themselves. 1. Without replacement 2. With replacement 3. Without replacement 4. With replacement

[@kalyanbiswal7771]

24:15 i feel even though it is just one each flower but doesn’t the placement of one flower over other change the bouquet. i feel it will...If i need a special arrangement of flowers even if its one makes a difference So 6 right?

[@Wizako]

No Kalyan. A bouquet is a just a collection of flowers. If the arrangement or placement is to be considered, the question will explicitly mention that. Unless otherwise stated in the question, when it comes to a bouquet, the default is that the arrangement is of no consequence. So, there will be only 3 types of bouquets as discussed in the video.

[@kalyanbiswal7771]

Wizako Okay thanks a lot

[@Thekingslayer-ig5se]

Is this useful for gre ?

[@Wizako]

Hi, Yes definitely this is useful for GRE as well. If you're interested on more GRE related content you can head here to our GRE channel: kzbin.info/door/dWG2a40vma3t1MRFxH8ERg Best wishes!

[@kumarshubham9158]

Hi Baskar Sir Please find the answers to the question that you gave us as Home-work in the end. 1. Order does not matter. Without replacement. Ans.= 20*19/2! 2. Order matters. With replacement. Ans.= 20*20 3. Order does not matter. Without replacement. Ans.= 52*51*50/3! 4. Order matters. With replacement. Ans.= 26*26*26 Please note that I have also come up with the solution to all the questions. Do let me know if I am right or wrong. Thanks, Shubham.

[@masnunrahman3056]

For Q2 why does order matter?

[@rooshajoshi8]

Please explain answer 4-password!!!

[@canada_krishna]

1.Order matters because AB is not equal to BA in this case 2.with replacement as same letter can be used for 3 times

[@vinaykkyadav]

seen on 17th dec 19