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Mathematics 18 Online
OpenStudy (anonymous):

Aysha has 8 pictures to hang over her couch. She wants to hang only 3 of them. 1. Find how many ways she can choose the 3 pictures from the 8.

OpenStudy (anonymous):

\[ 8 \times 7 \times 6 = 336 \]

OpenStudy (anonymous):

It shows that these are the possible answers.. 24 ways 56 ways 108 ways 28 ways

OpenStudy (anonymous):

but the next question is.. Find how many ways she can choose the 3 pictures from the 8 and arrange them in a row on the wall. and the possible answers to THAT is.. 336 ways 108 ways 56 ways 24 ways

OpenStudy (kropot72):

\[nCr=\frac{n!}{r!(n-r)!}=\frac{8!}{3!\times 5!}\]

OpenStudy (kropot72):

The correct choice is 56 ways

OpenStudy (anonymous):

Aww I missed the choose, I was answering your next question then ;)

OpenStudy (anonymous):

So it's basically like this when you have choose you are selecting hence 8 C 3 but when you are arranging then it's 9 P 3

OpenStudy (anonymous):

Ooooh ok! That makes since!

OpenStudy (anonymous):

sorry *sense haha

OpenStudy (kropot72):

For the second question: \[nPr=\frac{n!}{(n-r)!}=8\times 7\times6=336 ways\]

OpenStudy (anonymous):

Ohh ok! thanks you guys!! :)

OpenStudy (anonymous):

I wish i could pick both of you for best answer but ill just become fans with both of you!

OpenStudy (kropot72):

You're welcome :)

OpenStudy (anonymous):

Other person is off so ill just pick you for best answer :)

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