Nice Question Man Quant Guides

This topic has expert replies
Master | Next Rank: 500 Posts
Posts: 184
Joined: Thu Nov 25, 2010 9:57 pm
Thanked: 1 times
Followed by:5 members
GMAT Score:700

Nice Question Man Quant Guides

by chaitanya.mehrotra » Thu Jul 28, 2011 8:09 am
Greg, Marcia, Peter, Jan, Bobby, and Cindy go to a movie and sit next to each
other in 6 adjacent seats in the front row of the theater. If Marcia and Jan
will not sit next to each other, in how many different arrangements can the
six people sit?
Source: — Problem Solving |

Newbie | Next Rank: 10 Posts
Posts: 2
Joined: Wed Jul 20, 2011 6:34 am
Followed by:3 members

by [email protected] » Thu Jul 28, 2011 8:50 am
6! - (10*4!)
=5!(6-2)
=5!*4 = 480

Is it correct?

Newbie | Next Rank: 10 Posts
Posts: 4
Joined: Mon Aug 01, 2011 8:09 pm
Location: India

by Freakinout » Mon Aug 01, 2011 11:00 pm
My Solution:

Total ways of arranging 6 people = 6 ! = 720

2 people never come together = Total - P(Always come together)

P(Always come together):

[MJ]GMPB
5!*2 = 240


Total - P(Always come together) = 720 -240 = 480 ( i think its correct)