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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 ?

User Sylordis
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1 Answer

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Answer: 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

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
n_1 are line ,
n_2 are like ,
n_3 are like and so on :


(n!)/(n_1!n_2!n_3!....)

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


(4!)/(2!2!)=(24)/(4)=6

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

Then , Number of arrangements start with A =
1* (3!)/(2!)=3

∴ Number of arrangements start with A =3

Similarly ,

Number of arrangements finish with A =
1* (3!)/(2!)=3

∴ Number of arrangements finish with A =3

User Valderann
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