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A class contains 3 girls and 4 boys.every saturday 5 students go on a picnic , a different group being sent each week . during the picnic,each girl in the group is given a doll by the accompanying teacher . find the total number of dolls the girls have got after all possible groups of the five have gone once
A group may consist of 1 girl , 2 girl or 3 girl .
1. when there is one girl , number of groups = 3C1 x 4C4=3
2. when there are two girls ,number of groups = 3C2 x 4C3=3x4=12
3. when there are three girls , number of ways = 1 x 4C2 =6
therefore total number of dolls = 1x3+ 2x12+ 3x6= 45
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