How many ways are there to select 6 students from a class of 25 to serve on a committee?

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21-08-2018
Mathematics

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How many ways are there to select 6 students from a class of 25 to serve on a committee?

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sqdancefan sqdancefan · Answer 1 · 2018-08-23T21:23:45+02:00

sqdancefan sqdancefan

23-08-2018

25 ways to select the first one, 24 ways to select the second one, ... 20 ways to select the last one. Those same 6 can be selected in 6! different orders, so there are really 25·24·23·22·21·20/6! = 177,100 ways to select the students without regard to order.

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