# math

posted by .

Determine the number of permutations of the letters of the word "EFFECTIVE"

• math -

Rewrite the word as:
"ceeeffitv" we see that it is a 9 letter word in which the letters e and f repeat 3 and 2 times respectively.
The number of permutations is therefore
9!/(3!2!1!1!1!1!)
=30240

## Similar Questions

1. ### math

How many distinguishable permutations of letters are possible in the word?
2. ### math

The number of distinguishable permutations that can be formed from the letters of the word PRINT is 120.ITS THAT TRUE or FALSE
3. ### algebra

using the letters in the word "MAGIC,", find the number of permutations that can be formed using 3 letters at a time A. 20 , B. 30 , C. 40, D. 60
4. ### HSPA Prep

Marybeth is trying to remember her 4-letter password. All she remembers is that no two letters in her password are the same. How many different permutations are there if the combination of letters does not have to be an actual word?
5. ### Math

Find the probability that if the letters of the word "parallel" are randomly arranged that the L's will not be together. In class, I'm studying permutations and combinations. The solutions stated the no. of permutations where 3 L's …
6. ### math permutations

how many distinguishable permutations are there of the letters in the word effective
7. ### math

Determine the number of permutations of the letter of the word "education"
8. ### Permutations

What is the number of permutations for the words: QUEUE COMMITTEE PROPOSITION BASEBALL You can arrange it in any order. You can also arrange it into any order of the letters. You could use the math from FACTORIAL. I need an answer …
9. ### math: permutations

How many different 4 letter arrangements can be formed from the letters in the word cards
10. ### math: permutations

How many different 4 letter arrangements can be formed from the letters in the word cards my answer: 120 arrangments

More Similar Questions