Answer:
<h2>5 040 permutations</h2>
Step-by-step explanation:
the word ‘HONOLULU’ has 8 letters
In this word ,the letters O , L and U are repeated each two times.
the number of permutations of the two letters O , o is 2!
the number of permutations of the two letters L , L is 2!
the number of permutations of the two letters U , U is 2!
the number of permutations (distinguishable or not) of the letters in HONOLULU is 8!
then
the number of distinguishable permutations of the letters in HONOLULU :
![=\frac{8!}{2!\times 2!\times 2!}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B8%21%7D%7B2%21%5Ctimes%202%21%5Ctimes%202%21%7D)
![=5040](https://tex.z-dn.net/?f=%3D5040)