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Mathematics 17 Online
OpenStudy (anonymous):

How many ways are there to seat 4 people in a 4-passenger automobile? Assume that some times there will be no one in the driver's seat.

OpenStudy (anonymous):

4!=24

OpenStudy (anonymous):

\[\left(\begin{matrix}4 \\ 4\end{matrix}\right)\]I believe

OpenStudy (anonymous):

No nevermind

OpenStudy (anonymous):

ni its 4 factorial that is 24 ways

OpenStudy (anonymous):

wait so is it 4!

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

and the 4 represents what?

OpenStudy (anonymous):

so the number of ways are 24

OpenStudy (anonymous):

the four represents the number of possibilities ot he number of options

OpenStudy (anonymous):

what if the question was how many ways can 4 people sit in a 6 seat car?

OpenStudy (amistre64):

the " ! " is special notation ; kinda like an exponent. 4^6 is notation for: 4*4*4*4*4*4 4! is notation for: 4*3*2*1 6! is notation for: 6*5*4*3*2*1

OpenStudy (anonymous):

ohhhh gotcha

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