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 hosts for these championships if they are not both to be held at the same university?

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In 2008, they can choose any one of the universities from the 6 universities who have applied. So number of ways in which a university can be selected in 2008 is 6

In 2009, they can not choose one university which they have chosen in 2008, so number of ways in which a university can be selected in 2009 is 5.

Final number of ways in which they can select the hosts for the championship for 2008 and 2009 = 6*5 = 30

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