A Nice Math Olympiad Problem |SIMPLIFY THIS FACTORIAL!

[@wasiuafolaju7508]

Nice one. Can you do a short video on factorial to explain this Simplification a little more. Thanks

[@WisdomAfolaju]

Maybe the application as well

[@Waismaths-t6o]

Okay, thanks. Next video loading on factorial.

[@dmitryli]

It would be nice if you mentioned what olympiad was that from, specifically what age is it targeted at. As for my solution, you can take 15!/11!3! from both sides to end with 1/4+1/12 and finish it all in one line

[@Waismaths-t6o]

Yes, you are right about the age aspect. Now, about the solution, your solution will give 1/3 which I believe that amount of factorial there will not be as low as 1/3. Also, the question is like an expression so, you can't equate both sides. The only way out is to factorize it. Thanks, I appreciate it. Kindly subscribe to my channel.

[@dmitryli]

@Waismaths-t6o I wasn't implying that this is the end of the solution, I should have explained it better. You still need to multiply 1/3 by the rest of the expression, but now the factorial part is much easier to reduce. For subscription, my 2 cents, I prefer a channel that adds a source of the problem. Once you start adding info like country, year, age and what type of Olympiad was that, it would make sense to subscribe. Otherwise, I can tell you that this problem was a standard problem in school when I was about 8 grade

[@williamfrederickiii1683]

I think he meant something like this… 1. Factor out as many of the factorial terms as you can: 15!/(11!3!) * (1/12 + 1/4) 2. Simplify and expand the factorials and combine the two fractions: (15*14*13*12)/(3*2) * (1/3) 3. Continue simplifying: (15*14*13*2) / 3 4. Finishing reducing fraction: (14*13*5*2) = 1820

[@Waismaths-t6o]

@williamfrederickiii1683 Okay, I understand now. Thanks for clarification. That's a good idea too. Assuming he said solve them separately, I would understand more. Thanks

[@Waismaths-t6o]

@dmitryli I think I understand your point now. @dmitriyl explains it better. A good idea too.

[@kashimanbrown7657]

What for.

[@Waismaths-t6o]

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