SOLUTION: All 4 trumpets are mixed up. What is the probability that NO ONE get his own trumpets? Thank you.

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Question 952678: All 4 trumpets are mixed up. What is the probability that NO ONE get his own trumpets?
Thank you.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Four trumpets distributed to four players has 4%21%2F%284-4%29%21=24 permutations.
There are 9 permuatations where all the trumpets are wrong.
If ABCD is the correct order,
BADC
BCDA
BDAC
CADB
CDAB
CDBA
DABC
DCAB
DCBA
So then the probability is,
P=9%2F24=3%2F8
that no one gets the correct trumpet.