SOLUTION: If the NCAA has applications from 6 universities for hosting its intercollegiate tennis championships in 2008 and 2009, how many ways may they select the host for these championshi

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Question 1180161: If the NCAA has applications from 6 universities for hosting its intercollegiate tennis championships in 2008 and 2009, how many ways may they select the host for these championships?
A. If they are not both to be held at the same university?
B. If they may both be held at the same university?
Found 2 solutions by ewatrrr, ikleyn:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
6 universities, two tournaments
A. If they are not both to be held at the same university? P(6,2) = 6*5 = 30 choices
B. If they may both be held at the same university? 
  Not at the same OR at the same:  30 + 6 = 36 choices
Wish You the Best in your Studies.


Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.

If repeating is not allowed, as in question (A), then the answer is 6*5 = 30 different ways.


If repeating is allowed, as in question (B), then the answer is 6*6 = 36 different ways.