A sales representative for a company must visit 6 different cities
exactly one time each. In how many different orders can the
cities be visited?
counting techniques
This topic has expert replies
- iamnikkilarin
- Newbie | Next Rank: 10 Posts
- Posts: 2
- Joined: Wed Aug 15, 2012 4:29 am
GMAT/MBA Expert
- Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
Here we want to arrange 6 unique items (cities) in a row.iamnikkilarin wrote:A sales representative for a company must visit 6 different cities
exactly one time each. In how many different orders can the
cities be visited?
In general, we can arrange n unique objects in n! ways.
So, the total number of ways to arrange 6 cities is 6!, which equals [spoiler]6x5x4x3x2x1 = 720[/spoiler]
Cheers,
Brent