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Tamil Nadu Board of Secondary EducationHSC Science Class 11

Find the value of nn(n+3)!(n+1)! - Mathematics

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Question

Find the value of `(("n" + 3)!)/(("n" + 1)!)`

Sum

Solution

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

= (n + 3)(n + 2)
= n2 + 3n + 2n + 6
= n2 + 5n + 6

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Chapter 4: Combinatorics and Mathematical Induction - Exercise 4.1 [Page 166]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 4 Combinatorics and Mathematical Induction
Exercise 4.1 | Q 14. (vi) | Page 166

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