SOLUTION: How many distinguishable permutations of letters are possible in the word BASEBALL? The answer is supposed to be 5040.

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Question 134852: How many distinguishable permutations of letters are possible in the word BASEBALL?
The answer is supposed to be 5040.
Found 2 solutions by vleith, stanbon:
Answer by vleith(2517) (Show Source):
You can put this solution on YOUR website!
The number of letters is 10. But 3 sets show up twice.
If there are n objects with n1 duplicates of one kind, n2 duplicates of a second kind, ..., nk duplicates of a kth kind, then the number of distinguishable permutations of these n objects is
n!/(n1!n2!...nk!)
see --> http://www.ltcconline.net/greenl/Courses/103B/seqSeries/FACTORI.HTM
We get

Answer by stanbon(48568) (Show Source):
You can put this solution on YOUR website!
How many distinguishable permutations of letters are possible in the word BASEBALL?
The answer is supposed to be 5040.
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Ans = 8!/(2!*2!*2!)= 8!/8 = 7! = 5040
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Cheers,
Stan H.