Please help, I'll give you a medal

Question

Please help, I'll give you a medal<3

You want to pick a four-player tennis team. There are eight players to choose from. How many different teams can you form?

A.70
B.1680
C.48
D. 336

jim_thompson5910 · Answer

How many people are there to choose from?

anonymous · Answer

Eight @jim_thompson5910

jim_thompson5910 · Answer

Once you made that selection for the first slot, you have 8-1 = 7 choices for slot 2

Then you'll have 8-2 = 6 choices for slot 3

and finally 8-3 = 5 choices for slot 4

jim_thompson5910 · Answer

Multiply out those choices: 8*7*6*5 = 1,680

So there are 1,680 ways to pick 4 people if order mattered

jim_thompson5910 · Answer

If order doesn't matter, then there are 1,680/(4*3*2*1) = 1,680/24 = 70 ways to do it