Posted by sam on Tuesday, March 5, 2013 at 9:56pm.
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, Tuesday, March 5, 2013 at 9:58pm
Your problem states that there are 6 dancers.
Do you need to know how many dances there will be?

Math  sam, Tuesday, March 5, 2013 at 10:02pm
Yes how many dances

Math  Ms. Sue, Tuesday, March 5, 2013 at 10:08pm
There should be 15 dances.

Math  ellis, Tuesday, March 5, 2013 at 10:15pm
ms.sue could you please answer my question i previousl posted

Math  sam, Tuesday, March 5, 2013 at 10:29pm
How did you come up with that #?

Math  Ms. Sue, Tuesday, March 5, 2013 at 10:35pm
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, Tuesday, March 5, 2013 at 10:47pm
Understood thanks!

Math  Ms. Sue, Tuesday, March 5, 2013 at 10:54pm
You're welcome.

Math  Damon, Wednesday, March 6, 2013 at 3:17am
combinations of 5 taken 2 at a time
c(5,2) = 5!/[3!*2!] = 5*2 = 10
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