Question

If $P(n):2^n<n!$ Then the smallest positive integer for which P(n) is true if

• A. 2
• B. 3
• C. 4
• D. 5

Answer 1

Answer: (C)

For $n=1,2,3,2^n>n!$
$P(4):2^4<4!$
So, smallest positive integer, $n=4$.