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# If only the 8 fastest runners advance to the Olympics, how many different ways can the eight fastest runners be chosen from the whole field

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If only the 8 fastest runners advance to the Olympics, how many different ways can the eight fastest runners be chosen from the whole field of 28 runners?

May 2, 2015

#1
+97576
+8

28C8

$${\left({\frac{{\mathtt{28}}{!}}{{\mathtt{8}}{!}{\mathtt{\,\times\,}}({\mathtt{28}}{\mathtt{\,-\,}}{\mathtt{8}}){!}}}\right)} = {\mathtt{3\,108\,105}}$$

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May 2, 2015

#1
+97576
+8

28C8

$${\left({\frac{{\mathtt{28}}{!}}{{\mathtt{8}}{!}{\mathtt{\,\times\,}}({\mathtt{28}}{\mathtt{\,-\,}}{\mathtt{8}}){!}}}\right)} = {\mathtt{3\,108\,105}}$$

Melody May 2, 2015