How many different groups can be selected for playing tennis out of 4 ladies and 3 gentlemen, there being one lady and one gentleman on each side?
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Number of different groups which can be selected = 36
We have to select 1 man and 1 lady from the total of 4 ladies and 3 men in each tennis team .
Number of ways of selecting one man and one lady in each of the two teams = 4C2 × 3C2
= ((4 × 3)/2) × 3
= 18
Players of the two tennis teams can be interchanged between each other , total number of ways = 18 × 2
= 36
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