(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

prove n!>2^n for all n>=4

2. Relevant equations

3. The attempt at a solution

I showed it was true for n=1.

assume k!>2^k for all k>=4

then show it for k+1. (k+1)!>=2^(k+1)

=k!*(k+1)>=2*2^k

I don't know where to go from here.

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# Proof Using General principle of math induction

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