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Write in terms of factorial: 5 × 6 × 7 × 8 × 9 × 10 - Mathematics and Statistics

Sum

Write in terms of factorial:
5 × 6 × 7 × 8 × 9 × 10

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Solution

5 × 6 × 7 × 8 × 9 × 10 = 10 × 9 × 8 × 7 × 6 × 5

Multiplying and dividing by 4!, we get

= `(10 xx 9 xx 8 xx 7 xx 6 xx 5 xx 4!)/(4!)`

= `(10xx9xx8xx7xx6xx5xx4xx3xx2xx1)/(4!)`

= `(10!)/(4!)`

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APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 6 Permutations and Combinations
Exercise 6.2 | Q 4. (i) | Page 75
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