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Evaluate: 10! – 6! - Mathematics and Statistics

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Question

Evaluate: 10! – 6!

Sum

Solution

10! – 6! = 10 × 9 × 8 × 7 × 6! – 6!

= 6!(5040 – 1)

= 6 × 5 × 4 × 3 × 2 × 1 × 5039

= 3628080

∴ 10! – 6! = 3628080

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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 1. (iii) | Page 49

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