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Question

# An office employs six customer service repres entatives. Each day, two of them are randomly selected and their customer interactions are monitored for the purposes of improving customer relations. In how many ways can the repres entatives be chosen?

Solution

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In order to solve this equation, we need to use the formula for the number of combinations, $_nC_r$ of $n$ things taken $r$ at a time.

$_nC_r=\dfrac{n!}{(n-r)!r!}$

Based on the problem, we have $n=6$ which represents the number of employees, and $r=2$ which represents the number of employees chosen.

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