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Practice By Tag: Counting Solutions of Linear Equations

Question: 2014 Fall Final - 8
1 . The number of different strings that can be made by reordering the 10 letters of the word AAABBCCCCC is
(a)
$\frac{10!}{2!3!5!}$
(b)
$10!$
(c)
${10 \choose 3}{10 \choose 2}{10 \choose 5}$
(d)
None of the above.