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How many ways are there to choose a committee of 3 people from a group of 9 people?
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How many ways are there to choose a committee of 3 people from a group of 9 people?

User Lisett
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C r = (n!)/(r!(n-r)!)
9 C 3 = (9!)/(3!*(9-3)!)
9 C 3 = (9!)/(3!*6!)
9 C 3 = (9*8*7*6!)/(3!*6!)
9 C 3 = (9*8*7)/(3!)
9 C 3 = (9*8*7)/(3*2*1)
9 C 3 = (504)/(6) 9 C 3 = 84
User Parnell
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