Difference between revisions of "2007 AMC 8 Problems/Problem 4"

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Our answer is <math>30</math>, <math>\boxed{D}</math>
 
Our answer is <math>30</math>, <math>\boxed{D}</math>
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==See Also==
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{{AMC8 box|year=2007|before=First<br />Question|num-a=2}}

Revision as of 15:06, 12 November 2012

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 $30$, $\boxed{D}$

See Also

2007 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
First
Question
Followed by
Problem 2
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All AJHSME/AMC 8 Problems and Solutions