prove n^n<=(2n)!

Dear student

You can use:

1)Binomial theorem

2)Mathematical induction to prove it...

  A binomial is an algebraic expression of two terms which are connected by the operations '+' or '-'.      For n = 1,2,3,4, the expansion of (a + b)ⁿ, has been expressed in a very systematical manner in terms of combinatorial coefficients. The above expression suggest the conjecture that (a + b)ⁿ should be expressible in the form
for every natural number n

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