How many permutations are there of the word?
ESCHEW

A) 350
B) 570
C) 380
D) 180
E) 360

Name: How many permutations are there of the word? ESCHEW A) 350 B) 570 C) 380 D) 180 E) 360
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Question

How many permutations are there of the word? ​
ESCHEW
​
A) 350
B) 570
C) 380
D) 180
E) 360

Quizplus · Accepted Answer

There are 6 letters in the word ESCHEW. So the number of permutations is 6 factorial, which is 6 x 5 x 4 x 3 x 2 x 1 = 720. However, the letter E appears twice, so we must divide by 2 factorial to avoid overcounting. Therefore, the total number of permutations is 720 / 2 = 360. So the answer is choice letter E.

How Many Permutations Are There of the Word? ​

How Many Permutations Are There of the Word?