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bum
bun
buns
bums

..

so it would me 6 to the power of 6?

Um, I think so, yes...

ok

After the B, there are 6 distinct letters with 6! arrangements.
6! = 720

yes

if that is the question, then the answer is what valpey said

ok

as in
\[6\times 5\times 4\times 3\times 2\]

Oh, I see.