AP EAMCET · Maths · Permutation Combination
The number of divisors of \(7!\) is
- A 72
- B 24
- C 64
- D 60
Answer & Solution
Correct Answer
(D) 60
Step-by-step Solution
Detailed explanation
\(7! = 2^4 \times 3^2 \times 5^1 \times 7^1\) Number of divisors \( = (4+1)(2+1)(1+1)(1+1) \) \( = 5 \times 3 \times 2 \times 2 \) \( = 60 \)
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