How many combinations can a student answer 5 out of 10 questions?

asked Jul 23, 2023 129k views

2 votes

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1 vote

$\binom{10}{5}=(10!)/(5!5!) \\ \\ =((10)(9)(8)(7)(6))/(120) \\ \\ =((9)(8)(7)(6))/(12) \\ \\ =((9)(8)(7))/(2) \\ \\ =(9)(4)(7) \\ \\ =\boxed{252}$

$=\boxed{252}$

Huang Chen answered Jul 27, 2023

6.1k points

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