SOLUTION: You volunteer to help drive children at a charity event to the zoo, but you can fit only 7 of the 17 children present in your van. How many different groups of 7 children can you

Algebra ->  Permutations -> SOLUTION: You volunteer to help drive children at a charity event to the zoo, but you can fit only 7 of the 17 children present in your van. How many different groups of 7 children can you       Log On


   

Question 599323: You volunteer to help drive children at a charity event to the zoo, but you can fit only 7 of the 17 children present in your van. How many different groups of 7 children can you drive?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
C(n,r) = (n!)/(r!(n-r)!)

C(17,7) = (17!)/(7!*(17-7)!)

C(17,7) = (17!)/(7!*10!)

C(17,7) = (17*16*15*14*13*12*11*10!)/(7!*10!)

C(17,7) = (17*16*15*14*13*12*11)/(7!)

C(17,7) = (17*16*15*14*13*12*11)/(7*6*5*4*3*2*1)

C(17,7) = (98017920)/(5040)

C(17,7) = 19448

So there are 19,448 different groups.