Overview of Permutations (1 of 4: Arranging n objects)

[@riemann9429]

You're amazing sir. 👏 You've helped me and many other students and I cant begin to thank you. Keep doing you

[@reik2006]

4:18 Euler argues in the following way in his book Elements of Algebra on page 116: "355. Let us first suppose all the letters different; and, beginning with the simplest case of two letters, or ab, we immediately discover that two transpositions may take place, namely, ab and ba. If we have three letters, abc, to consider, we observe that each of the three may take the first place, while two others will admit of two transpositions; thus, if a be the first letter, we have two arrangements abc, acb; if b be in the first place, we have the arrangements bac, bca; lastly, if c occupy the first place, we have also two arrangements, namely, cab, cba; consequently the whole number of arrangements is 3x2=6. If there be four letters abcd, each may occupy the first place; and in every case the three others may form six different arrangements, as we have just seen; therefore the whole number of transpositions is 4x6=24=4x3x2x1. If we have five letters, abcde, each of the five may be the first, and the four others will admit of twenty-four transpositions; so that the whole number of transpositions will be 5x24=120=5x4x3x2x1." I really like this reasoning :)

[@manafro2714]

This is really nice, thank you!

[@rajakrishnakumar4076]

Sir , you are amazing ...Ur videos are so interesting ... and thanks for making me understand the concepts well.

[@lidyaandreani5840]

thank you !

[@joannabuttigieg1203]

awesome!!! from europe

[@pranavmishra9366]

you are awesome sir! fan from India.

[@abdurrahmanlabib916]

Why do most indians have to say "from india" everytime?

[@gardenmenuuu]

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[@MITSUYAINTHENSAMN]

To spread love

[@franc1159]

2:12 subtitles...