2021 April MIMC 10 Problems/Problem 4

Revision as of 22:58, 20 April 2021 by Cellsecret (talk | contribs) (Created page with "Stiskwey wrote all the possible permutations of the letters <math>AABBCCCD</math> (<math>AABBCCCD</math> is different from <math>AABBCCDC</math>). How many such permutations a...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Stiskwey wrote all the possible permutations of the letters $AABBCCCD$ ($AABBCCCD$ is different from $AABBCCDC$). How many such permutations are there?

$\textbf{(A)} ~420 \qquad\textbf{(B)} ~630 \qquad\textbf{(C)} ~840 \qquad\textbf{(D)} ~1680 \qquad\textbf{(E)} ~5040$

Solution

To be Released on April 26th.