# Math

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There are 6 dancers in a program. Each dancer will preform a short dance with each of the other dancers before the program is over. How many dancers will there be

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Your problem states that there are 6 dancers.

Do you need to know how many dances there will be?

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Yes how many dances

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There should be 15 dances.

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How did you come up with that #?

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Dancer 1 dances with dancers 2, 3, 4, 5, 6

2: 3, 4, 5, 6,

3: 4, 5, 6

4: 5, 6

5: 6

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Understood thanks!

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You're welcome.

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combinations of 5 taken 2 at a time
c(5,2) = 5!/[3!*2!] = 5*2 = 10

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