Binomial Theorem And Its Simple Applications Question 138
Question: The number $ (49^{2}-4)(49^{3}-49) $ is divisible by__
Options:
A) 6!
B) 5!
C) 7!
D) 9!
Show Answer
Answer:
Correct Answer: B
Solution:
- [b] Given expression = $ (49^{2}-2^{2})\times 49(49^{2}-1) $
$ =51\times 47\times 49\times 50\times 48 $
$ =51\times 50\times 49\times 48\times 47 $ Is the product of five consecutive integers.
Hence it is divisible by 5!
BETA
