Binomial Theorem And Its Simple Applications Question 69
Question: Let $ P(n):‘‘2^{n}<(1\times 2\times 3\times …\times n)’’. $ Then the smallest positive integer for which P(n) is true is
Options:
A) 1
B) 2
C) 3
D) 4
Show Answer
Answer:
Correct Answer: D
Solution:
- [d] Since $ P(1):2<1 $ is false; $ P(2):2^{2}<1\times 2 $ is false $ P(3):2^{3}<1\times 2\times 3 $ is false; $ P(4):2^{4}<1\times 2\times 3\times 4 $ is true
BETA
