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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:

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ANSWER

120 ways

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:

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

That is the answer.

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