Find the number of different arrangements that are possible for the letters.
REMEMBERED

Question

Find the number of different arrangements that are possible for the letters.
REMEMBERED

anonymous · Answer

@ujhk77

anonymous · Answer

thought you could explain since you explained the other one nicely, this has repetitions in the letters though

anonymous · Answer

@zordoloom

anonymous · Answer

Have you heard of the function "!"

anonymous · Answer

factorial, i know what it is, though there are repeating letters

anonymous · Answer

Yep

anonymous · Answer

Okay, this one is a little tougher. More to come and sorry for being late.

anonymous · Answer

REMEMBERED
in this word there are 
2 r's
4 e's
2 m's 
1 b
and 1 d

anonymous · Answer

okay

anonymous · Answer

So, There are a total of 10 letters, so
10!/(2!*4!*2!)

anonymous · Answer

3628800/96

anonymous · Answer

Which is about 37800 different ways. Someone correct me if i'm wrong.

anonymous · Answer

The total number of letters in the word "remembered" is 9. Therefore, the TOTAL number of combinations is 10!.

However, not all of the combinations are UNIQUE (some of them may be the same because some of the numbers are the same).

Therefore, we have to filter out the non-unique combinations. Let's do this by figuring out which numbers repeat:

We have 4 e's that sometimes repeat. We have 2 m's and 2 r's that also do so. We can plug these into a handy-dandy formula for this sort of stuff:

(total # of permutations)!/((#of non-unique elements)!*(number of different non-unique elements)!....) = number of unique permutations.

so, we'll plug our numbers in:

10!/(4!*2!*2!)

As you can see, 10! is our total # of permutations (even though some of them may be the same).

The 4! is for the 4 e's that repeat, and the two 2!'s are for the 2 r's and the 2 m's.

So, your actual answer will be: 10!/(4!*2!*2!) = 37800

Wow! A lot of combinations still!

Hope that helps :)

anonymous · Answer

Oh, my! I seem to have made a small typo: 

"The total number of letters in the word "remembered" is 9. Therefore, the TOTAL number of combinations is 10!."

The total number of letters in "remembered" is actually 10, as a little counting should tell you. Sorry!

anonymous · Answer

I understand now thanks to the both of you :)