There are 4 men and 5 women in Group A, and 5 men and 4 women in Group B. If 4 persons are selected from each group, then the number of ways of selecting 4 men and 4 women is _____

Step-by-step solution

array |l|l|l| array c From Group A array & array c From Group B array & Ways of selection 4 M & 4 ~W & ^4 C ₄ ^4 C ₄=1 3 M 1 ~W & 1 M 3 ~W & ^4 C ₃ ^5 C ₁ ^5 C ₁ ^4 C ₃=400 2 M 2 ~W & 2 M 2 ~W & ^4 C ₂ ^5 C ₂ ^5 C ₂ ^4 C ₂=3600 1 M 3 ~W & 3 M 1 ~W & ^4 C ₁ ^5 C ₃ ^5 C ₃ ^4 C ₁=1600 4 ~W & 4 M & ^5 C ₄ ^5 C ₄=25 Total & 5626 array