Math
posted by sam on .
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

Your problem states that there are 6 dancers.
Do you need to know how many dances there will be? 
Yes how many dances

There should be 15 dances.

ms.sue could you please answer my question i previousl posted

How did you come up with that #?

Dancer 1 dances with dancers 2, 3, 4, 5, 6
2: 3, 4, 5, 6,
3: 4, 5, 6
4: 5, 6
5: 6 
Understood thanks!

You're welcome.

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