Binomial Theorem And Its Simple Applications Question 82
Question: The greatest positive integer, which divides $ n(n+1)(n+2)(n+3) $ for all $ n\in N, $ is
Options:
A) 2
B) 6
C) 24
D) 120
Show Answer
Answer:
Correct Answer: C
Solution:
- [c] The product of r consecutive integers is divisible by r! thus $ n(n+1)(n+2)(n+3) $ is divisible by $ 4!=24. $