Jasmine has 4 glass ornanents:green, orange, brown, and purple. How many ways can she hang them in a row so that the green and brown ornaments are NOT next to each other.

The best way to solve this is by giving a visual idea of the glass ornaments. so We will have letter G represent Green, O for Orange, B for Brown, P for Purple.

Sample 1:G, O, B, P

Sample 2:G, P, O, B

Sample 3:P, G, O, B

Sample 4:O, G, P, B

Sample 5:G, O, P, B

This is what you can do this should be the right amount of ways to arrange them.

1:green, purple, brown, orange

2:purple, green, orange brown

3:green, orange, brown purple

4:brown, orange, green, purple