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[≥Adv] Interesting and high-level (mostly) questions and theory will be posted. Solutions will most often not be posted unless they're elegant (You may ask for one). DM/Comment if there are any errors. Join @ChemGalore for chemistry questions!
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Solve
(x+2)^4-(x)^4=y^3
In integers, very good and elegant question, give it a try
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.
