1.

The number of ways in which a mixed double tennis game be arranged between 10 players consisting of 6 men and 4 women?

Answer» Selecting 2 men out of 6 men=>`.^(6)C_2`
Selecting 2 women out of 4 women=>`.^(4)C_2`
Out of these 4 players selected two different matches can be payed with different teams.
Total number of matches=`.^(6)C_2xx.^(4)C_2xx2=180`


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