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:
(i) exactly 3 girls?
(ii) at least 3 girls?
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committee consisting of 3 girls and 4 boys can be formed in 1C3×9C41C3×9C4 ways
⇒4C1×9C4⇒4C1×9C4
⇒41×9×8×7×61.2.3.4⇒41×9×8×7×61.2.3.4
⇒504⇒504 ways
⇒4C1×9C4⇒4C1×9C4
⇒41×9×8×7×61.2.3.4⇒41×9×8×7×61.2.3.4
⇒504⇒504 ways
Similar questions
4C3 * 9C4.
(2) A commitee consits of Atleast 3 girls:
4C3 * 9C4 and 4C4 * 9C3.