SOLUTION: At Nick and Francine's wedding reception, the wedding party were asked to dance during one song. Each person on the dance floor had to dance with every other person. If there wer

Algebra ->  Probability-and-statistics -> SOLUTION: At Nick and Francine's wedding reception, the wedding party were asked to dance during one song. Each person on the dance floor had to dance with every other person. If there wer      Log On


   



Question 190805: At Nick and Francine's wedding reception, the wedding party were asked to dance during one song. Each person on the dance floor had to dance with every other person. If there were 18 people on the dance floor, how many "Dancing partners" were there?
Answer by solver91311(24713) About Me  (Show Source):
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The first person has 17 partners to choose from. The second person, because s/he partnered with the first person was already accounted for in the first person's list of partners has 16 to choose from. The third person has 15 new possibilities, and so on, so you have:



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