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In How Many Ways Can 6 Boys and 5 Girls Be Arranged for a Group Photograph If the Girls Are to Sit on Chairs in a Row and the Boys Are to Stand in a Row Behind Them? - Mathematics

In how many ways can 6 boys and 5 girls be arranged for a group photograph if the girls are to sit on chairs in a row and the boys are to stand in a row behind them?

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Solution

Number of arrangements of the boys = Number of arrangements of the 6 boys taken 6 at a time = 6!
Number of arrangements of the girls = Number of arrangements of the 5 girls taken 5 at a time = 5!
Total number of arrangements = 6! x 5! = 86400

Concept: Factorial N (N!) Permutations and Combinations
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Exercise 16.3 | Q 27 | Page 29
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