MHT CET 2023 Mathematics question
A group consists of 8 boys and 5 girls, then the number of committees of 5 persons that can be formed, if committee consists of at least 2 girls and at most 2 boys, are
Answer: (C)
Solution
"At most 2 boys" in a committee of 5 means at least 3 girls, which already satisfies "at least 2 girls". So the allowed compositions are (2 boys, 3 girls), (1 boy, 4 girls) and (0 boys, 5 girls). Count: ;
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