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Question: 2013 Fall Midterm - 10

Author: Pat Morin
How many strings can be obtained by rearranging the letters of the word POOPERSCOOPER
(a)
${{13}\choose{4}}{{9}\choose{3}}{{6}\choose{2}}{{4}\choose{2}}{{2}\choose{1}}$
(b)
${{13}\choose{4}}{{9}\choose{3}}{{6}\choose{2}}{{4}\choose{2}}$
(c)
$13!$
(d)
$4!3!2!2!1!1!$