Question

Graduating seniors must present three projects as part of a major requirement and must select them from a list of 10 possible projects. In how many ways can this be done? a 120b 720 c other:

Answer 1

120 ways

Step-by-step explanation

We want to see how many ways 3 projects can be selected from 10 possible projects.

Since there is no particular order for the selection, we will use combinuation.

We have:

`\begin{gathered} ^(10)C_3\text{ = }\frac{10!}{(10\text{ - 3)! 3!}} \\ \text{ = }\frac{10!}{7!\text{ 3!}} \\ =\text{ 120 ways} \end{gathered}`

That is the answer.