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A Committee of 7 Has to Be Formed from 9 Boys and 4 Girls. in How Many Ways Can this Be Done When the Committee Consists Of: at Least 3 Girls? - Mathematics

A committee of 7 has to be formed from 9 boys and 4 girls. In how many ways can this be done when the committee consists of: at least 3 girls?

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Solution

When the committee consists of at most 3 girls:
Required number of ways =\[{}^4 C_3 \times^9 C_4 + {}^4 C_4 \times^9 C_3 = 504 + 84 = 588\]

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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 17 Combinations
Exercise 17.2 | Q 30.2 | Page 17
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