Question

There is a team of 31 people and two people are to be selected as co-captains. How many different ways can you select co-captains from the team?

Answer 1

465 different ways

STEP BY STEP EXPLANATION

Step 1: Using Combination

`C(n,r)\text{ = }(n!)/(r!(n-r)!)`

Step 2: from the question, n = 31 and r = 2

`\begin{gathered} C(31,\text{ 2) = }(31!)/(2!(31-2)!) \\ \text{ = }(31\ast30\ast29!)/(2!(29)!) \\ \text{ = }465 \end{gathered}`

Hence, you can select co-captains from the team in 465 different ways