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In how many different ways can 8 friends sit around a table? - Mathematics and Statistics

Sum

In how many different ways can 8 friends sit around a table?

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Solution

We know that ‘n’ persons can sit around a table in (n – 1)! ways

∴ 8 friends can sit around a table in 7! ways

= 7 × 6 × 5 × 4 × 3 × 2 × 1

= 5040 ways.

∴ 8 friends can sit around a table in 5040 ways.

Concept: Concept of Permutations - Circular Permutations
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 3 Permutations and Combination
Exercise 3.5 | Q 1 | Page 61
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