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.
\[ 8 \times 7 \times 6 = 336 \]
It shows that these are the possible answers.. 24 ways 56 ways 108 ways 28 ways
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
\[nCr=\frac{n!}{r!(n-r)!}=\frac{8!}{3!\times 5!}\]
The correct choice is 56 ways
Aww I missed the choose, I was answering your next question then ;)
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
Ooooh ok! That makes since!
sorry *sense haha
For the second question: \[nPr=\frac{n!}{(n-r)!}=8\times 7\times6=336 ways\]
Ohh ok! thanks you guys!! :)
I wish i could pick both of you for best answer but ill just become fans with both of you!
You're welcome :)
Other person is off so ill just pick you for best answer :)
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