Question

A class contains three 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

(A)  21

(B)  45 

(C)  27 

(D)  24

Answer 1

Correct option  (B) 45

The number of times, a particular girl goes on picnic = ⁶C₄

Now, each time she goes, she gets a doll.

Thus, total number of dolls given to the girls is

⁶C₄ 3 = 6!/4!2! .3 = 45