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Misc 6 - The English alphabet has 5 vowels and 21 consonants - Both Permuation and combination

  1. Chapter 7 Class 11 Permutations and Combinations
  2. Serial order wise
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Misc, 6 The English alphabet has 5 vowels and 21 consonants. How many words with two different vowels and 2 different consonants can be formed from the alphabet? Hence, Total number of ways of selecting 2 vowels and 2 consonants = 2100 Now each of these 4 letters can be arranged in 4 ways = 4P4 = 4!/(4 − 4)! = 4!/0! = 4!/1 = 4 × 3 × 2 × 1 = 24 ways Total number of words = 2100 × 24 = 50400

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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