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Question

A class contains three girls and four boys. Every Saturday, a group of 5 students go on a picnic (a different group of students is sent every week). During the picnic, each girl in the group is given a doll by the accompanying teacher. If all possible groups of five have gone for picnic once, the total number of dolls that the girls have got is
  1. 21
  2. 45
  3. 27
  4. 24


Solution

The correct option is B 45
NumberNumberNumber ofNumberof girlsof boysgroups goingof dollsto picnic 143C1 4C4=31×3=3233C2 4C3=122×12=24323C3 4C2=63×6=18

Total number of dolls =3+24+18=45

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