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Question

A class contains 4 boys and g girls. Every sunday five students, including at least three boys go for a picnic to Zoo Park, 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

A
15
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B
12
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C
8
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D
5
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Solution

The correct option is D 5
Different groups formed
4C3×gC2+4C4×gC1=4×gC2+gC1

There are two girls in each of 4×gC2groups

No. of doll's distributed
=2×4×gC2+g=4g23g=85
g=5

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