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

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

Math 
Ms. Sue,
There should be 15 dances.

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

Math 
sam,
How did you come up with that #?

Math 
Ms. Sue,
Dancer 1 dances with dancers 2, 3, 4, 5, 6
2: 3, 4, 5, 6,
3: 4, 5, 6
4: 5, 6
5: 6 
Math 
sam,
Understood thanks!

Math 
Ms. Sue,
You're welcome.

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