SOLUTION: How many different groups of 3 people can be formed from 10 people?

Algebra ->  Permutations -> SOLUTION: How many different groups of 3 people can be formed from 10 people?       Log On


   

Question 503184: How many different groups of 3 people can be formed from 10 people?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28n%21%29%2F%28r%21%28n-r%29%21%29

%2810%21%29%2F%283%21%2A%2810-3%29%21%29

%2810%21%29%2F%283%21%2A7%21%29

%2810%2A9%2A8%2A7%21%29%2F%283%21%2A7%21%29

%2810%2A9%2A8%2Ahighlight%287%21%29%29%2F%283%21%2Ahighlight%287%21%29%29

%2810%2A9%2A8%2Across%287%21%29%29%2F%283%21%2Across%287%21%29%29

%2810%2A9%2A8%29%2F%283%21%29

%2810%2A9%2A8%29%2F%283%2A2%2A1%29

%28720%29%2F%286%29

120

So there are 120 different groups.