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The number of ways of arranging 5 boys and 5 girls in a queue if infront of each girl number of girls are more than or equal to the number of boys is

My try:

I am sure that first person should be a girl.

G _ _ _ _ _ _ _ _ _

Now second can be a girl or a boy. If it is a boy, then third should definitely be a girl.

G G _ _ _ _ _ _ _ _
or
G B G _ _ _ _ _ _ _

But I am not able to find out a systematic way to count all such possibilities. Can anyone please provide some hint.

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