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Simplify (2n+2)!(2n)! - Mathematics and Statistics

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Question

Simplify `((2"n" + 2)!)/((2"n")!)`

Sum

Solution

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

= 2(n + 1) (2n + 1)

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

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