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Out of 7 different consonants and 4 different vowels, how many words (not necessarily meaningful) of 4 consonants and 2 vowels can be formed?

Question and options

Out of 7 different consonants and 4 different vowels, how many words (not necessarily meaningful) of 4 consonants and 2 vowels can be formed?
  1. 151200
  2. 210
  3. 720
  4. 142500

Answer and explanation

Correct answer: A - 151200
Choose consonants C(7,4)=35, vowels C(4,2)=6, arrange 6 letters 6! = 720: 35 x 6 x 720 = 151200.

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