How many different permutations can you make with the letters in the word seventeen?

Lorena Beard

Lorena Beard

Answered

2022-07-06

How many different permutations can you make with the letters in the word seventeen?

Answer & Explanation

Leslie Rollins

Leslie Rollins

Expert

2022-07-07Added 25 answers

Step 1
A total of 7560 permutations are possible with the letters in the word Seventeen.
Explanation:
We can use the following formula:
If there are n objects with r types, then n ! n 1 ! n 2 ! n 3 ! n 4 ! ... ... n r ! .
The word given is :
Seventeen
Observe that there is a total of 9 alphabets in the word.
The letter S appears 1 time
The letter E appears 4 times
The letter V appears 1 time
The letter N appears 2 times
The letter T appears 1 time
Step 2
We can calculate the different permutations as follows:
9 ! 1 ! 4 ! 1 ! 2 ! 1 !
9 ! 1 24 1 2 1
362 , 880 48
7560
Hence, a total of 7560 permutations are possible with the letters in the word Seventeen.

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