Question

How many arrangements are there in the word AMAZED in which E will be between A?
I know the answer is 120
I want to know the confusion in this method

1. The probability that E occurs between A is 1/3. (How that conclusion was made?)
2. Multiply 1/3 by total permutations. (Okay)
3. Obtain answer 120. (Okay)

Answer 1

@ganeshie8

Answer 2

How many options does E have ?

Answer 3

Options to do what?

Answer 4

in terms of relative placement to the two As

Answer 5

There are many

Answer 6

E can be to the left of both A s

Answer 7

E can be to the right of both A s

Answer 8

AEA AAE EAA
A*EA AE*A E*AA .......

Answer 9

E can be between the A s

Answer 10

Oh got it
1. E can be between As
2. E can be to the right of As
3. E can be to the left of As

Answer 11

Those are the only three options

Answer 12

Yeah got it so that's why the multiplied 1/3 by 360

Answer 13

Okay just last thing
Is this correct for
Number of arrangements of 4 letters from REMEMBRANCE which contains no Ms and no Rs and at least 2 E's
2E's = 4C2*4!/2!
3E's = 4C1*4!/3!
Add the results??