How many words of four consonants and 3 vowels can be made from 12 consonants and 4 vowels if all the letters are different?
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1) 75000 2) 756000 3) 75600 4) None of these Answer: (2) 756000 Solution: We need to find the number of words of 4 consonants and 3 vowels from 6 consonants and 5 vowels. Therefore, required number of words = (4 out of 6 consonants) x (3 out of 5 vowels) x (arranging 7 letters) = 6C4 x 5C3 x 7! = 756000 Was this answer helpful? 3 (3) (4) (2) Thank you. Your Feedback will Help us Serve you better. Leave a Comment
Post your comments here:Name *: Email : (optional) » Your comments will be displayed only after manual approval. How many words of 4 consonants and 3 vowels can be made from 12 consonants?Solution(By Examveda Team)
Therefore, total number of groups each containing 4 consonants and 3 vowels, = 12C4 × 4C3 Each group contains 7 letters, which can be arranging in 7! ways.
How many words of 3 consonants and 2 vowels can be made from 12 consonants and 4 vowels if all the letters are different?= 210. Number of groups, each having 3 consonants and 2 vowels = 210.
How many words consisting of 4 consonants and 3 vowels can be formed?Answer: (2) 756000
= 6C4 x 5C3 x 7!
How many words of 4 consonants and 3 vowels can be formed from 6 consonants and 5 vowels?∴ Required number of words =12C4∗4C3∗7! =9979200.
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