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2007 AMC 8 Problems/Problem 4

Revision as of 14:56, 15 February 2010 by Aplus95 (talk | contribs) (Created page with '== Problem == A haunted house has six windows. In how many ways can Georgie the Ghost enter the house by one window and leave by a different window? <math>\mathrm{(A)}\ 12 \qqu…')
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Problem

A haunted house has six windows. In how many ways can Georgie the Ghost enter the house by one window and leave by a different window?

$\mathrm{(A)}\ 12 \qquad\mathrm{(B)}\ 15 \qquad\mathrm{(C)}\ 18 \qquad\mathrm{(D)}\ 30 \qquad\mathrm{(E)}\ 36$

Solution

Georgie can enter the haunted house through any of the six windows. Then, he can leave through any of the remaining five windows.

So, Georgie has a total of $6 * 5$ ways he can enter the house by one window and leave by a different window.

Our answer is $30$, $\boxed{D}$

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