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Question: 2017 Winter Midterm - 10

Author: Michiel Smid
How many strings can be obtained by rearranging the letters of the word

POOPERSCOOPER

(a)
$13!$
(b)
${13 \choose 4}{9 \choose 3}{6 \choose 2}{4 \choose 2}{2 \choose 1}$
(c)
${13 \choose 4}{13 \choose 3}{13 \choose 2}{13 \choose 2}{13 \choose 1}$
(d)
${13 \choose 4}{9 \choose 3}{6 \choose 2}{4 \choose 2}$