SOLUTION: Joey and Ross along with 4 other best friends go to see a movie. They find a row of 6 seats, but Joey and Ross don�t want to sit next each other. How many different seating arran

Question 349982: Joey and Ross along with 4 other best friends go to see a movie. They find a row of 6 seats, but Joey and Ross don�t want to sit next each other. How many different seating arrangements are possible if Joey and Ross don�t want to sit next each other?
Answer by sudhanshu_kmr(1152) (Show Source): You can put this solution on YOUR website!
6 seats and 6 persons, two of them should not sit together.
No. of ways to arrange 6 person at 6 place without any restriction = 6P6 = 6!

now, we will find how many ways these two friends can sit together .
assume both are single entity then total 5 person i.e 4 + (Joey + Ross)
no. of ways = 5p5 * 2! ( 2! for arrangement that they can make i.e JR,RJ)
= 5! * 2!
Now, this value can be subtracted from previous value where was no restriction

total no. of ways = 6! - 5! * 2
= 720 - 240
= 480
so, total 480 ways.
Sometime there may be typing mistake to solve a problem, so please ignore it.
Please understand the concept and try the problem yourself.
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