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  • In a swimming competition, there are six male swimmers and five female swimmers. How many ways are there to select a team captain from either the male swimmers or the female swimmers?<div class

In a swimming competition, there are six male swimmers and five female swimmers. How many ways are there to select a team captain from either the male swimmers or the female swimmers?

Option: 1

11


Option: 2

13


Option: 3

17


Option: 4

15


Answers (1)

best_answer

Given that,

There are 6 male swimmers and 5 female swimmers.

The total number of ways to select a team captain from either group is,

\begin{aligned} & n=\frac{6 !}{(6-1) !}+\frac{5 !}{(5-1) !} \\ & n=\frac{6 !}{5 !}+\frac{5 !}{4 !} \\ & n=11 \end{aligned}

Hence, there are 11 ways to select a team captain from the six male swimmers and five female swimmers.

Posted by

Anam Khan

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