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13. There are 19 students in an MA 206 class at FCC. How many ways are there to select 5 students for a group project?

13. There are 19 students in an MA 206 class at FCC. How many ways are there to select-example-1
User SplinterReality
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1 Answer

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We have 19 students in a class.

We have to find how many different groups of 5 students can be selected from that class.

This is a combination of n=19 in r=5 and can be calculated as:


\begin{gathered} C(n,r)=(n!)/((n-r)!r!) \\ C(19,5)=(19!)/(14!5!)=11628 \end{gathered}

Answer: there are 11628 possible groups.

User Nouman
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