Question

Find the number of diffrent 6 letters arrangements
that can be made from the letters of the word
"MOTHER" assuming that no letter is repeated
So that
a) all letters are used at a time
b) all vowels occur together.​

Answer 1

Answer:

There are six letters in MOTHER, all different, i.e. arrangement can be made out of the letters of the word MOTHER taken four at a time with M present in every arrangement.

So, rest 3 letters can be arrangement from 5 letters So, total number of ways