I have tried this problem by doing 8 factorial over two times two factorial, which I got 10080, which doesn't seem to be right since the answer on the answer key is pretty far from my answer, can someone help me? Thank you
(I know this might be a duplicate of this question over here, but I can't understand the solution, any help will be appreciated)
1 Answer
$\begingroup$The number of possible outcomes is a permutation in this case. The number of letters is 8 thus 8!, but you have two As and three Rs (which would lead to duplicates because switching R for R is afterall the same word) so divide by 2! and 3!. This leaves you with 3360 total unique outcomes.
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