NCERT Class XI Mathematics - Permutations and Combinations - Solutions

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Question : 25
Total: 41
In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?
Solution:  
3 boys can be selected from 5 boys in
5
‌
C3
ways & 3 girls can be selected from 4 girls in
4
‌
C3
ways.
∴ Required number of ways of team selection
=
5
‌
C3
×
4
‌
C3
=
5!
2!3!
×
4!
3!1!
=
5×4
2
× 4 = 40
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