So my math teacher gave us this asifnment that has to do with the distinguishing permutations of the group of letters:

B, B, B, T, T, T, T, T.

I think that this has to do with factorials, (X!)


Please help?

Not exactly... See? You have some similar letters. Say you have the first B placed second and the second one first, that does not change a thing in the final order of the letters, they'll still be in the same order as the initial one.

What you have to do is divide your total factorial by the number of permutations of similar letters you have. Fir example, you have 3 Bs, so, it is 3! And 5 Ts, so 5!

Your answer is;

\frac{8!}{4!.5!}