Evaluate: 8! – 6! - Mathematics and Statistics

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Sum

Evaluate:  8! – 6!

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Solution

8! – 6!
= 8 × 7 × 6! – 6! 
= 6! (8 × 7 − 1)
= 6! (56 − 1)
= 6! × 55
= 6 × 5 × 4 × 3 × 2 × 1 × 55
= 39,600

Concept: 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) 11th Standard HSC Maharashtra State Board
Chapter 6 Permutations and Combinations
Exercise 6.2 | Q 1. (iii) | Page 75
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