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

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\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}

User Huang Chen
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