Rumpelstiltskin- how many guesses can the queen make

[wind]

Hi can someone check over my work?

How many guesses can the queen make in order to guess the name rumpelstiltskin, if she only knows the letters?

so i thought this would be a permutation with repeting items

r u m p e ll ss tt ii k n


\(\displaystyle \L\frac{15!}{2!*2!*2!*2!}\)

\(\displaystyle \L\ =81 729 648 000\)

but thats not the answer in the back..

Thanks

 

[pka]

Again you are correct, unless we both are misreading it.