Question

A swimming coach needs to choose a team for a relay race. The coach must select 4 of 6 available swimmers

Answer 1

The number of unique ways is given by the number of possible

combination having distinct members.

The number of unique ways there are to arrange 4 of the 6 swimmers are 15 ways.

Reasons:

The given parameters are;

The number of swimmers available = 6 swimmers

The number of swimmers the coach must select = 4 swimmers

Required:

The number of unique ways to arrange 4 of the 6 swimmers.

Solution:

The number of possible combination of swimmers is given as follows;

$_4C_6 = \dfrac{6!}{4! \times (6 - 4)!} = 15$

Therefore, the coach can select 4 of the 6 available swimmers in 15 unique ways

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