Mark the Correct alternative in the following: Let P (n): 2n

Question

Mark the Correct alternative in the following: Let P (n): 2n < (1 × 2 × 3 × … × n). Then the smallest positive integer for which P(n) is true is

Philoid · Accepted Answer

Given P(n):2n< (1×2×…. ×n)

For n=1, 2<2

For n=2, 4<4

For n=3, 6<6

For n=4, 8<24

the smallest positive integer for which P(n) is true is 4.