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Bunuel
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n! can be written as n*(n-1)!
so (n+3)!^5 can be written as (n+3)^5*(n+2)^5!
on simplifying we get
option-D
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It is useful to note: k! = k * (k-1)! = k * (k-1) * (k-2)!.....

Therefore, (n+3)! = (n+3) * (n+2)!

This leaves us with (n+3) inside the bracket.

Thus the expression becomes (n+3)^5.

Hence (D) is the answer.

Glad to help!
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