Question

How may permutations of the word “spell” are there?

Answer 1

Must they be different from each other?

Answer 2

no of permutations=
\[\frac{ 5! }{ 2! }\]

Answer 3

no. of L's = 2
hence divide from 2!

Answer 4

see,
to make a 5-letter word , 5 places are to be filled
___ ___ ___ ___ ___
1st 2nd 3rd 4th 5th
the first place can be filled in 5 ways (s,p,e,l,l)
2nd place in 4 ways.
3rd place in 3 ways.
4th place in 2 ways.
5th place in 1 way.
now , ther are 2L's.
hence total no. of words that can be formed=(5*4*3*2*1) / 2*1

Answer 5

you can visualize that how the things happen and how different word are formed by fundamental principle of counting.