AP EAMCET · Maths · Permutation Combination
The greatest positive integer which divides \((n+16)\) \((n+17)(n+18)(n+19)\), for all positive integers \(n\), is
- A \(6\)
- B \(24\)
- C \(28\)
- D \(20\)
Answer & Solution
Correct Answer
(B) \(24\)
Step-by-step Solution
Detailed explanation
Given, \((n+16)(n+17)(n+18)(n+19)\) As we can observe that these numbers are th product of four consecutive natural numbers. This number gets divided by \(4 !=24\).
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