Example 20 - How many words each of 3 vowels and 2 consonants - Examples

  1. Chapter 7 Class 11 Permutations and Combinations
  2. Serial order wise
Ask Download

Transcript

Example, 20 How many words, with or without meaning, each of 3 vowels and 2 consonants can be formed from the letters of the word INVOLUTE ? Hence, Total number of ways of selecting 3 vowels and 2 consonants = 24 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 = 24 120 = 2880

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.