SOLUTION: In how many ways can letter of the word BALLOON be arranged so that the two Ls do not come together.

Question 201594: In how many ways can letter of the word BALLOON be arranged so that the two Ls do not come together.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In how many ways can letter of the word BALLOON be arranged so that the two Ls do not come together
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Total # of arrangements: 7!/[2!*2*]
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Total # of arrangements with the LL together:
Note: this means the LL is like one letter.
# = 6!/2!
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Therefore, total number with the LL NOT together:
7!/(2!*2!) - 6!/2! = 1260 - 360 = 900
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Cheers,
Stan H.
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