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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

3 boys and 3 girls are to be selected from 5 boys and 4 girls.
∴ Required ways = \[{}^5 C_3 \times^4 C_3 = \frac{5}{3} \times \frac{4}{2} \times \frac{3}{1} \times \frac{4}{3} \times \frac{3}{2} \times \frac{2}{1} = 40\]

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 17 Combinations
Exercise 17.2 | Q 24 | Page 16
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