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An election ballot asks voters to se4five city commissioners from a group of fifteen candidates. In how many wsys can this be done

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DeanR

That's "15 choose 5"

[tex]\displaystyle{15 \choose 5} = \dfrac{15! }{5! 10!} = \dfrac{15 \cdot 14 \cdot 13 \cdot 12 \cdot 11}{5 \cdot 4 \cdot 3 \cdot 2 \cdot 1} = (15/(5(3))(14/2)(13)(12/4)(11)\\\\= 7(13)(3)(11)=231(13)=3003[/tex]

Answer: 3003 ways

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