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How many combinations are possible? Assume that the items are distinct. Please show work. 12 items chosen 7 at a time
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How many combinations are possible? Assume that the items are distinct. Please show work. 12 items chosen 7 at a time

User Roy Lin
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1 Answer

5 votes

Answer:

792

Explanation:


\binom{12}{7}=(12!)/(7!5!) \\ \\ =(12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7!)/(7!5!) \\ \\ =(12 \cdot 11 \cdot 10 \cdot 9 \cdot 8)/(120) \\ \\ =11 \cdot 9 \cdot 8 \\ \\ =792

User Marat Zakirov
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5.5k points
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