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Maths-

General

Easy

Question

A class contains 3 girls and four boys. Every Saturday five students go on a picnic, a different group of students is being sent each week. During the picnic, each girl in the group is given a doll by the accompanying teacher. All possible groups of five have gone once, the total number of dolls the girls have got is:

21
45
27
24

The correct answer is: 45

The number of times, a particular girl goes on picnic = ⁶C₄
Now each times she goes, she gets a doll.
Thus total number of dolls given to the girls
= ⁶C₄.3 = $fraction numerator 6 factorial over denominator 4 factorial 2 factorial end fraction.3 equals 45$

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