4 different balls of green colour and 4 different balls of red colour are to be distributed equally among 4 people. The probability that all 4 people have balls of a different colour is λ , then the value of 7 λ is equal to

Step-by-step solution

Total cases = number of ways in which 4 G and 4 R balls are distributed equally among 4 people = 8 ! 2 ! 4 × 1 4 ! × 4 ! Favourable cases = all 4 people have balls of different colour = 4 ! 4 ! Required probability = 4 ! × 4 ! 8 ! × 2 ! 4 = 8 35