Maths-
General
Easy

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 -

  1. 15    
  2. 12    
  3. 8    
  4. 5    

The correct answer is: 5


    Number of groups having 4 boys and 1 girl
    = (4C4) (gC1) = g
    and number of groups having 3 boys and 2 girls
    = (4C3) (gC2) = 2g(g – 1)
    Thus, the number of dolls distributed
    = g(1) + (2)[2g (g – 1)]
    = 4g2 – 3g
    We are given 4g2 – 3g = 85 rightwards double arrow g = 5.

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