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The number of words that can be formed out of the letters of the word "ARTICLE" so that vowels occupy even places is:
  • a)
    36
  • b)
    144
  • c)
    574
  • d)
    754
Correct answer is option 'B'. Can you explain this answer?
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The number of words that can be formed out of the letters of the word ...
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The number of words that can be formed out of the letters of the word ...
Total letters are 7. So no. of even places are 3. As we have to place 3 vowels in 3 places, this can be done in 3! ways. Now, the remaining 4 consonants can be arranged in 4! ways. So the total no. of ways are. 3!*4!= 6*24=144
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The number of words that can be formed out of the letters of the word "ARTICLE" so that vowels occupy even places is:a)36b)144c)574d)754Correct answer is option 'B'. Can you explain this answer?
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