Question

Amit has 5 friends : 3 girls and 2 boys. Amit's wife has 5 friends:3 boys and 2 girls.In how many maximum number of different ways can they invite 2 boys and 2 girls such that two of them are Amit's friends and two are his wife's ?(which among the following options is correct -

a 24

b 38

c 46

d 58

(IAS-PRE-2007)

Answer 1

46 is the answer
2 boys from amit friend and 2 girls from his wife friend OR 1 boy &1 girl from amit friend and 1 boy and 1 girl from his wife friend OR 2 girls from amit friend and 2 boys from his wife friend:- 2C2*2C2+3C1*2C1*3C1*2C1+3C2*3C2=1+36+9=46 WAYS