SOLUTION: How many ways can the letters RRSRSS be arranged? I got: (6)(5)(4)(3)(2)(1)= 720 ways

Question 342886: How many ways can the letters RRSRSS be arranged?
I got: (6)(5)(4)(3)(2)(1)= 720 ways
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
That would be the case if each of the letters was unique.
You are overcounting.
.
.
.
Think about a simpler setup.
Look at 3 distinct letters.
ABC
ACB
BAC
BCA
CAB
CBA
3!/(3-3)!=6 ways
Now look at only 2 distinct letters but 3 total letters.
AAC
ACA
CAA
Only 3 different patterns available.
If they were all the same then only AAA would be unique, 1 pattern.
Think about it and repost if you need more help.

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