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In How Many Ways Can a Team of 3 Boys and 3 Girls Be Selected from 5 Boys and 4 Girls? - Mathematics

In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?

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Solution 1

A team of 3 boys and 3 girls is to be selected from 5 boys and 4 girls.

3 boys can be selected from 5 boys in `""^5C_3` ways.

3 girls can be selected from 4 girls in `""^4C_3 `ways.

Therefore, by multiplication principle, number of ways in which a team of 3 boys  and 3 girls can be selected

Solution 2

A team of 3 boys and 3 girls is to be selected from 5 boys and 4 girls.

3 boys can be selected from 5 boys in `""^5C_3` ways.

3 girls can be selected from 4 girls in `""^4C_3 `ways.

Therefore, by multiplication principle, number of ways in which a team of 3 boys  and 3 girls can be selected

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APPEARS IN

NCERT Class 11 Mathematics Textbook
Chapter 7 Permutations and Combinations
Q 4 | Page 153
NCERT Class 11 Mathematics Textbook
Chapter 7 Permutations and Combinations
Q 4 | Page 153
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