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How many words can be formed with the letters of the word VOWELS that begin with O and end with E?
Correct answer is '24'. Can you explain this answer?

Answers

We know that
Number of arrangement of n different objects is given by n!
n! = n×(n−1)×…×1
The word VOWELS contains 6 letters, in which all the different letters occur only once.
Now, after fixing O in first place and E in the last place, we have only 4 letters.
∴ Number of words =4!=24.
Hence, the correct answer is 24.

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How many words can be formed with the letters of the word VOWELS that begin with O and end with E?Correct answer is '24'. Can you explain this answer? for CAT 2023 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about How many words can be formed with the letters of the word VOWELS that begin with O and end with E?Correct answer is '24'. Can you explain this answer? covers all topics & solutions for CAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many words can be formed with the letters of the word VOWELS that begin with O and end with E?Correct answer is '24'. Can you explain this answer?.
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We know thatNumber of arrangement of n different objects is given by n!n! = n×(n−1)×…×1The word VOWELS contains 6 letters, in which all the different letters occur only once.Now, after fixing O in first place and E in the last place, we have only 4 letters.∴ Number of words =4!=24.Hence, the correct answer is 24.