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Combinatorics

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Science Books

COMBIN-KNKQEP

A bookshelf has $7$ math books, $6$ computer science books, $4$ chemistry books, and $3$ biology books. We pick books from the shelf at random.

How many books must be chosen to guarantee that we get $5$ books on the same subject?

A

$5$

B

$6$

C

$10$

D

$15$

E

$16$