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# What is the number of different ways that 2 out of 12 students can volunteer to organize a class party?

Updated: 12/21/2022

Wiki User

14y ago

The first student can be any one of 12. For each of those . . .

The second student can be any one of 11.

So there are (12 x 11) = 132 different ways that a pair can be formed from the 12 students.

But for every pair, there's another one that's exactly identical to it . . . Betsy and Joann is exactly

the same pair as Joann and Betsy.

So the number of different pairs is half of the number of ways they can be picked, (132/2) = 66 different pairs.

Wiki User

14y ago

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Q: What is the number of different ways that 2 out of 12 students can volunteer to organize a class party?
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