Permutation Question

This topic has expert replies
Source: — Problem Solving |

Master | Next Rank: 500 Posts
Posts: 198
Joined: Fri Mar 09, 2007 8:40 pm
Thanked: 7 times

by kris610 » Fri Oct 10, 2008 7:19 am
I believe it is 21. You may form 42 possible pairs, but since we are considering combinations here, you should divide this by 2!.

Newbie | Next Rank: 10 Posts
Posts: 3
Joined: Wed Sep 17, 2008 9:50 pm

by psburn » Fri Oct 10, 2008 9:22 pm
The correct answer is 840.... :roll:

Master | Next Rank: 500 Posts
Posts: 145
Joined: Mon Sep 29, 2008 1:14 am
Thanked: 13 times

by mental » Sat Oct 11, 2008 7:15 am
seven couples, and if one is selected - then spouse can not be selected

so in turn we are talking about 7 entities only

7P4 = 840

1st place: 7
2nd place: 6
3rd place: 5
4th place: 4

=7*6*5*4=840