How many different arrangements of the letters in the word SCHOOL are there?
~ I got 750 because SCHOOL has 6 letters, so therefore you find 6! .... which is 720 yet i got that wrong, what did i do wrong?~

Question

How many different arrangements of the letters in the word SCHOOL are there? 
~ I got 750 because SCHOOL has 6 letters, so therefore you find 6! .... which is 720 yet i got that wrong, what did i do wrong?~

ganeshie8 · Answer

check it has two OO

ganeshie8 · Answer

to account for them, you need to divide 6! by 2!

total no. of arrangements are  :  6!/2!

anonymous · Answer

do repeating letters make a difference?

ganeshie8 · Answer

yes, 
lets take a small example

ganeshie8 · Answer

A, B

how many arrangements  possible using above 2 letters ?

anonymous · Answer

two

ganeshie8 · Answer

thats right ! 
what are they

AB
BA

right ?

anonymous · Answer

yes.

ganeshie8 · Answer

C, C

how many arrangements  possible using above 2 letters ?

anonymous · Answer

oooh, i seee! massive thanks, there one solution. :)

ganeshie8 · Answer

:D

ganeshie8 · Answer

you just divide the "total permutations(6!)" with "redundancy letters permutations(2!)" to get the unique arrangements

anonymous · Answer

thanks! :)

ganeshie8 · Answer

np..