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## Main Question or Discussion Point

Hi, i have a problem that asks how many arrangements of "TOYBOAT" are there if the T's can not be next to each other.

I know the first step is to find the total without the restriction, which is 7!/(2!*2!). the 2 2! represents the repeated letters of T and B but i'm not sure how to make it so that the T's can not be next to each other. i've listed the different ways that the T's could sit so that they are not next to each other, which is 30. any hints guys? it seems simple but for some reason i can't wrap my head around it

I know the first step is to find the total without the restriction, which is 7!/(2!*2!). the 2 2! represents the repeated letters of T and B but i'm not sure how to make it so that the T's can not be next to each other. i've listed the different ways that the T's could sit so that they are not next to each other, which is 30. any hints guys? it seems simple but for some reason i can't wrap my head around it