CMI ugmath-syllabus.pdf

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JEE Main 2024 Question, Same question in CTPCM Also, prove generally,
(N!)! is divisible by (N!)^(N-1)!
2 methods to do it
1) Induction
2) Combinatorial Argument
Both work, 2nd one is more elegant.

Similar argument to be given for the question

Unique approach to beggars theorem related problems
Same as stars and bars method

Try this question, very good question, jee relevant.

Solve
(x+2)^4-(x)^4=y^3
In integers, very good and elegant question, give it a try

Solution, its a very good question even if you are not able to solve it look at the solution and develop new thought process
Solution is from AOPS i have just written it in latex with some explanation.

https://www.youtube.com/watch?v=p9wbWoJXVf0&ab_channel=InvisibleMechanics


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