I would like to know if i did this right: I got 15

You have 6 friends who want to go to a concert with you, but you only have room in your car for 2 of them. To avoid accusations of favoritism, you have your friends draw straws: There are 4 long and 2 short straws, and the short straws win. How many possible pairs of friends could be chosen in this way?

Question

I would like to know if i did this right: I got 15

You have 6 friends who want to go to a concert with you, but you only have room in your car for 2 of them. To avoid accusations of favoritism, you have your friends draw straws: There are 4 long and 2 short straws, and the short straws win. How many possible pairs of friends could be chosen in this way?

ganeshie8 · Answer

15  = $\checkmark$

its 6c2 = 6*5/2 = 15

anonymous · Answer

Yay! Thanks ^_^

ganeshie8 · Answer

you solved it by listing down all combinations, right ? its good to do like that in the start for understanding...  :)

anonymous · Answer

Yes. That's what i did

ganeshie8 · Answer

nice :D

ganeshie8 · Answer

my list :


1, 2
1, 3
1, 4
1, 5
1, 6

2, 3
2, 4
2, 5
2, 6

3, 4
3, 5
3, 6

4, 5
4, 6

5, 6