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Combinatorics

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Servers and Users

COMBIN-OEDJLN

A computer system has $10$ servers and $66$ users. Each server can serve at most $5$ users and each user uses exactly $1$ server.

Let $m$ be the number of servers that serve $3$ or more users.

What is the smallest value of $m$?

A

$6$

B

$7$

C

$10$

D

$11$

E

$15$

F

$16$