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

okay wait before i answer, is this for your points on a graph?

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!