SOLUTION: How many ways can a group of 7 people be chosen from a class of 15?

SOLUTION: How many ways can a group of 7 people be chosen from a class of 15?

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Question 773181: How many ways can a group of 7 people be chosen from a class of 15?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
n C r = (n!)/(r!(n-r)!)

15 C 7 = (15!)/(7!*(15-7)!)

15 C 7 = (15!)/(7!*8!)

15 C 7 = (15*14*13*12*11*10*9*8!)/(7!*8!)

15 C 7 = (15*14*13*12*11*10*9)/(7!)

15 C 7 = (15*14*13*12*11*10*9)/(7*6*5*4*3*2*1)

15 C 7 = (32432400)/(5040)

15 C 7 = 6435

Answer: 6435
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