From 7 boys and 5 girls, 6 are to be selected for admission for a particular course. In how many ways can this be done if there must be exactly 3 girls?

A 350
B 65
C 1050
D 120

Correct Answer: 350

Ways of selecting 3 girls out of 5 =  5C3  = 10 Number of boys to be selected = 6 - 3 = 3 Ways of selecting 3 boys out of 7 =  7C3  = 35 So, total ways = 10 x 35 =  350
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