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Evaluate : n!r!(n-r)! for n = 8, r = 6 - Mathematics and Statistics

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Question

Evaluate : `("n"!)/("r"!("n" - "r")!)` for n = 8, r = 6

Sum

Solution

n = 8, r = 6

∴ `("n"!)/("r"!("n" - "r")!) = (8!)/(6!(8 - 6)!)`

= `(8!)/(6! xx 2!)`

= `(8 xx 7 xx 6!)/(6! xx 2 xx 1)`

= 28.

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Factorial Notation
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Chapter 3: Permutations and Combination - Exercise 3.2 [Page 49]

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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 4. (i) | Page 49
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