Misc 1 - How many words each of 2 vowels and 3 consonants - Both Permuation and combination

  1. Chapter 7 Class 11 Permutations and Combinations
  2. Serial order wise
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Misc, 1 How many words, with or without meaning, each of 2 vowels and 3 consonants can be formed from the letters of the word DAUGHTER? Hence, Total number of ways of selecting 2 vowels and 3 consonants = 30 Now each of these 5 letters can be arranged in 5 ways = 5P5 = 5!/(5 − 5)! = 5!/0! = 5!/1 = 5 × 4 × 3 × 2 × 1 = 120 Total number of words = 30 × 120 = 3600

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