out of 7 consonants and 4 vowels the number of words of 6 letters - Wikitechy https://www.wikitechy.com/interview-questions/tag/out-of-7-consonants-and-4-vowels-the-number-of-words-of-6-letters/ Interview Questions Mon, 06 Sep 2021 09:54:59 +0000 en-US hourly 1 https://wordpress.org/?v=6.9 https://www.wikitechy.com/interview-questions/wp-content/uploads/2025/10/cropped-wikitechy-icon-32x32.png out of 7 consonants and 4 vowels the number of words of 6 letters - Wikitechy https://www.wikitechy.com/interview-questions/tag/out-of-7-consonants-and-4-vowels-the-number-of-words-of-6-letters/ 32 32 Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed ? https://www.wikitechy.com/interview-questions/permutation-and-combination/out-of-7-consonants-and-4-vowels-how-many-words-of-3-consonants-and-2-vowels-can-be-formed/ https://www.wikitechy.com/interview-questions/permutation-and-combination/out-of-7-consonants-and-4-vowels-how-many-words-of-3-consonants-and-2-vowels-can-be-formed/#respond Tue, 17 Aug 2021 20:04:36 +0000 https://www.wikitechy.com/interview-questions/?p=1928

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed ?

A. 210

B. 1050

C. 25200

D. 21400

E. None of these

Answer : C. 25200

Explanation:

Number of ways of selecting (3 consonants out of 7) and (2 vowels out of 4) = (7C3 x 4C2)
= { (7 x 6 x 5) / (3 x 2 x 1) } x { (4 x 3) / (2 x 1) } = 210.
Number of groups, each having 3 consonants and 2 vowels = 210.

Each group contains 5 letters.
Number of ways of arranging 5 letters among themselves = 5! = 5 x 4 x 3 x 2 x 1 = 120.

Required number of ways = (210 x 120) = 25200.

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