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Simplify (n+3)!(n2-4)(n+1)!

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Question

Simplify `(("n" + 3)!)/(("n"^2 - 4)("n" + 1)!)`

Sum
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Solution

`(("n" + 3)!)/(("n"^2 - 4)("n" + 1)!) = (("n" + 3)("n" + 2)("n" + 1)!)/(("n"^2 - 4)("n" + 1)!)`

= `(("n" + 3)("n" + 2))/("n"^2 - 4)`

= `(("n" + 3)("n" + 2))/(("n" - 2)("n" + 2))`

= `("n" + 3)/("n" - 2)`.

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Chapter 3: Permutations and Combination - Exercise 3.2 [Page 50]

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Balbharati Mathematics and Statistics (Arts and Science) Part 2 [English] Standard 11 Maharashtra State Board
Chapter 3 Permutations and Combination
Exercise 3.2 | Q 10. (ii) | Page 50

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