# How would you use permutations to find the arrangements possible if a line has 2 girls want to stand together?

Jul 27, 2016

For N-person line, the answer is 2 X (N-1)!.

#### Explanation:

Ii the line is for N persons and two girls have to stand together, count

the two girls as 1 person.

Then, the number of permutations is

 (N-1)! .

For every such arrangement, these two girls can stand in

two ways, one after the other..

So, overall, the number of permutations is

2 X (N-1)!