Question 1170027
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That leaves the letters SSTOON in the middle -- 6 letters including 2 pairs.  The number of ways of arranging those letters is<br>
{{{6!/((2!)(2!)) = 720/4 = 180}}}<br>
Then the two A's in the first two positions can be arranged in either of 2 ways.<br>
ANSWER: 180*2 = 360 different ways.<br>
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Corrected response....<br>
Yes, the other tutors are right -- we are talking about distinguishable orderings, so there is only 1 ordering of the two A's at the beginning.<br>
ANSWER: 180*1 = 180 different ways<br>