Question

Given the word ALABAMA, how many distinguishable permutation or orders exist?
A)3!/7!
B)4!/7!
C)7!/3!
D)7!/4!

Answer 1

if all the letters were different it would be \(7!\) right?

Answer 2

D

Answer 3

but since the word 'A' is used 4 times it would be 7!/4!

Answer 4

but since there are 4 indistinguishable letters (A) it is
\[\frac{7!}{4!}=7\times 6\times 5=210\]

Answer 5

I thought nPr = n! / ( n -r )!

Answer 6

this is not \(nPr\) though you are not permuting some number out of the total

Answer 7

If not Permutation, so it makes sense !