you can fit only 7 of the 19 children in your van. how many different groups of 7 children can you drive?

Question

you volunteer to help children at a charity event to the zoo, but you can fit only 7 of the 19 children in your van. how many different groups of 7 children can you drive? college algebra word problem for homework

Answer 1

how many ways can you choose 7 people out of 19 people ?

19!/7!(19-7)!

19!/7!12!

19*18*17*16*15*14*13/7*6*5*4*3*2

19*3*17*4*13=50,388

simplified by: 14/7*2, 18/6, 15/5*3, 16/4=4