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Question: 2014 Fall Final - 8

Author: Michiel Smid
The number of different strings that can be made by reordering the 10 letters of the word AAABBCCCCC is
(a)
None of the above.
(b)
$\frac{10!}{2!3!5!}$
(c)
${10 \choose 3}{10 \choose 2}{10 \choose 5}$
(d)
$10!$