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Question
The greatest positive integer which divide n(n + 1) (n + 2) (n + 3) for all n ∈ N is:
Options
2
6
20
24
Solution
24
Explanation:
Put n = 1 in n(n + 1) (n + 2) (n + 3)
= 1(1 + 1) (1 + 2) (1 + 3)
= 1 × 2 × 3 × 4
= 24
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