Question

How may permutations of the word “spell” are there? There are ___________
a0 ways.

Answer 1

Are the L's independent or exchangable. If they are independent it would be 5! or 120. If they are exchangable it is 5!/2! OR 60

Answer 2

Hence, permutations of the word “spell” is:

5!/2 i.e.60 ways are there

Explanation:

We have to find the permutation of the word "spell"

The number of permutation of any word is

factorial of number of alphabets(letters) in the word/product of the factorial of numbers of times the alphabet(letter) has come

Here the total alphabets are 5 so numerator will be 5!

Now the letter 'l' has come 2 times and all other letter has come once so, denominator will be 2!1!1!1!=2

Hence, permutations of the word “spell” =5!/2=60