Answer
$10$
Work Step by Step
Note that ${n\choose j}=\frac{n!}{(n-j)!j!}$.
Hence,
${5\choose 2}=\dfrac{5!}{(5-2)!2!}=\dfrac{5\cdot4\cdot3\cdot2\cdot1}{3\cdot2\cdot1\cdot2\cdot1}=10$
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