How many different strings of letters can be made by reordering the le

Question

How many different strings of letters can be made by reordering the letters of the word SUCCESS?

(A) 20
(B) 30
(C) 40
(D) 60
(E) 420

globaldesi · Answer

SUCCESS is a 7 letter word
the formula is given by
(total number of word)!/ repeat1! * repeat2 !
=7!/ 2!*2!
= 7*6*5*4*3*2/ 2*2
= 420
Hence answer E

Kinshook · Answer

How many different strings of letters can be made by reordering the letters of the word SUCCESS?
S-3 C-2 U-1 E-1, total 7
Number of different strings = 7!/3!/2! = 420

IMO E

BrentGMATPrepNow · Answer

When we want to arrange a group of items in which some of the items are identical, we can use something called the MISSISSIPPI rule. It goes like this:

If there are  n  objects where  A  of them are alike, another  B  of them are alike, another  C  of them are alike, and so on, then the total number of possible arrangements =  n !/ A !)( B !)( C !)....]

So, for example, we can calculate the number of arrangements of the letters in MISSISSIPPI as follows: 
There are  11  letters in total 
There are  4  identical I's
There are  4  identical S's
There are  2  identical P's
So, the total number of possible arrangements =  11 !/ 4 !)( 4 !)( 2 !)]
--------------------------------

Now let's calculate the number of arrangements of the letters in SUCCESS: 
There are  7  letters in total 
There are  3  identical S's
There are  2  identical C's
So, the total number of possible arrangements =  7 !/ 3 !)( 2 !)] = 420

Answer: E

Cheers,
Brent

Archit3110 · Answer

total ways ; SUCCESS ; 7!/2!*2! 
solve 420 
IMO E

saukrit · Answer

Total letters =7

Repeated S's=3
Repeated C's =2

Total number of letters possible=  \frac{7!}{(3!*2!)} =420

SvelteNigerian · Answer

I guessed by selecting the only answer option that is a multiple of 7

MBAHOUSE · Answer

Permutation with repetition is the concept applied

bumpbot · Answer

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How many different strings of letters can be made by reordering the le

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How many different strings of letters can be made by reordering the le

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