## Question

A class contains 4 boys and *g* girls. Every Sunday five students, including at least three boys go for a picnic to Appu Ghar, a different group being sent every week. During, the picnic, the class teacher gives each girl in the group a doll. If the total number of dolls distributed was 85, then value of *g* is

### Solution

5

Number of groups having 4 boys and 1 girl

and number of group having 3 boys and 2 girls

Thus, the number of dolls distributed

We are given

#### SIMILAR QUESTIONS

A is a set containing *n* elements. A subset *P* of *A* is chosen. The set *A* is reconstructed by replacing the elements of *P*. A subset *Q* of *A* is again chosen. The number of ways of choosing *P* and *Q* so that P ∩ Q = Ï• is

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