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Let f (n) = |{:(n,,n+1,,n+2),(.^(n)P(n)...

Let `f (n) = |{:(n,,n+1,,n+2),(.^(n)P_(n),,.^(n+1)P_(n+1),,.^(n+2)P_(n+2)),(.^(n)C_(n),,.^(n+1)C_(n+1),,.^(n+2)C_(n+2)):}|` where the sysmbols have their usual neanings .then f(n) is divisible by

A

`n^(2)+n+1`

B

`(n+1)!`

C

`n!`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A, C
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