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Evaluate: n!r!(n-r!) For n = 12, r = 12 - Mathematics and Statistics

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Question

Evaluate: `("n"!)/("r"!("n" - "r"!)` For n = 12, r = 12

Sum

Solution

n = 12, r = 12

∴ `("n"!)/("r"!("n" - "r"!)) = (12!)/(12!(12 - 12)!)  =(12!)/(12!  0!)`

= 1 ...[∵ 0! = 1]

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Concept of Factorial Function
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Chapter 6: Permutations and Combinations - Exercise 6.2 [Page 75]

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Balbharati Mathematics and Statistics 2 (Commerce) [English] 11 Standard Maharashtra State Board
Chapter 6 Permutations and Combinations
Exercise 6.2 | Q 5. (ii) | Page 75
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