How many distinct letter arrangements can be made from the letters of the word ‘ABBA’ ? How many arrangements start with A ? How many of these arrangements finish with A ?

Number of distinct letter arrangements can be made from the letters of the word ‘ABBA’: =6

Number of arrangements start with A= 3

Number of arrangements finish with A  =3

Step-by-step explanation:

Given word : ABBA

Total letters = 4

Number of A's = 2

Number of B's = 2

Number of ways to arrange n letters such that are line , are like , are like and so on :

So , the number of distinct letter arrangements can be made from the letters of the word ‘ABBA’:

When the word starts with A , then we need to arrange remaining three letters(BBA) :

Then , Number of arrangements start with A =

∴ Number of arrangements start with A =3

Similarly ,

 Number of arrangements  finish with A =

∴ Number of arrangements  finish with A =3

step-by-step explanation: