SOLUTION: Joe has 9 paintings that he wants to put next to each other on the wall of art gallery before the opening of an exhibit. The opening is in 7 days and he would like to look at all p

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Question 447561: Joe has 9 paintings that he wants to put next to each other on the wall of art gallery before the opening of an exhibit. The opening is in 7 days and he would like to look at all possible arrangements on the wall to decide which one looks best for the exhibit.
If it takes him one minute to arrange the paintings,
(a) how long will it take him to look at all possible arrangements?
(b) does he have enough time before the exhibit?

Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

number of possible arrangement of paintings = 9! = 362880

a) time needed to check all possible arrangement = 362880 minutes
= 6048 hours
= 252 days

b) so, given time 7 days is not enough.