Question

How many different groups of 2 teams can be selected for playing tennis out of 4 women and 3 men, there being one woman and one man on each side?​

Answer 1

Let us see:

We should first select first playing side for the tennis game. So, we select one lady and one gentleman for this game and thus the number of this side is

(41)∗(31)

For the other side of the team

(31)∗(21)

Let us assume that we have ladies named A,B,C and D and Gents E,F and G.

In my above argument I am assuming that A and E playing as team 1 against B and f playing as team 2 is a different case when A and E are playing as team 2 against B and F playing as team 1.

That is, I have created a distinction between team 1 and 2. and Since, only the teams matter not their team no. I simply divide the result by 2.

Thus the answer is 72/2=36