SOLUTION: All of the arrangements of the letters in the word ALGEBRA are written on a list, and one of the arrangements is selected at random. What is the probability that the selected arr

Question 327091: All of the arrangements of the letters in the word ALGEBRA are written on
a list, and one of the arrangements is selected at random. What is the
probability that the selected arrangement contains a double-A?
Answer by galactus(183) (Show Source): You can put this solution on YOUR website!
Tie the two A's together and pretend they are one letter.
Now, we have something like AALEGBR.
Since AA is one letter, this can be arranged in 6!=720 ways.
There are 7!/2 arrangements of the word ALGEBRA.
So, the probability is 720/2520=2/7
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