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HomeCATQuantitative AptitudeCAT QA — Mixed › From 10 boys and 8 girls, a committee of 5 is to…

From 10 boys and 8 girls, a committee of 5 is to be formed with exactly 3 boys. Number of ways:

A10C3 × 8C2 = 120 × 28 = 3360
B10 × 8
C18C5
D10C3
Answer & Solution
Correct answer: A. 10C3 × 8C2 = 120 × 28 = 3360
Choose 3 boys from 10 AND 2 girls from 8 (5 total). Multiplication principle: C(10,3) × C(8,2) = 120 × 28 = 3360.
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