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blagie [28]
3 years ago
9

An art gallery has eight new paintings, all the same size, but enough room on the wall for six of them. How many ways can the di

rector arrange the eights paintings on the wall?
28
48
20,160
40,320
Mathematics
2 answers:
umka21 [38]3 years ago
8 0

That would be 8P6  = 20160 answer

7nadin3 [17]3 years ago
6 0

The order matters.

k objects can be chosen out of n objects, when the order matters, in P(n,k)=\dfrac{n!}{(n-k)!} ways.

So, the answer is P(8,6)=\dfrac{8!}{2!}=3\cdot4\cdot5\cdot6\cdot7\cdot8=20,160 ways.

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