Questions on Algebra: Combinatorics and Permutations answered by real tutors!

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Question 169607: 1).
In how many ways we can arrange the alphabets of the word "ARRANGE" so that
i)Two a's are always together
ii)Two a's are together and two R are not together.
: 1).
In how many ways we can arrange the alphabets of the word "ARRANGE" so that
i)Two a's are always together
ii)Two a's are together and two R are not together.

Answer by stanbon(19743) About Me  (Show Source):
You can put this solution on YOUR website!
In how many ways we can arrange the alphabets of the word "ARRANGE" so that
i)Two a's are always together
# of arrangements = 6!/2! = 360
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ii)Two a's are together and two R are not together.
# of arrangements = 6!/2! - 6 = 354
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Cheers,
Stan H.