■ Counting Principles Solve these exercises by using the appropriate counting principle(s).
Doubles Tennis From a group of ten male and ten female tennis players, two men and women are to face each other in a men-versus-women doubles match. In how many different ways can this match be arranged?
The number of different ways the match of men-versus-women can be arranged.
men and women are to be chosen from a group of men and women each.
The order for choosing men and women is not important.
Write the formula of the number of combinations.
Here, is the total number of objects and is the number of objects chosen.
For both men and women substitute for and for in the above expression.
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