In how many different ways can the letters of the word 'THERAPY' be arranged, so that the vowels never come together? 3600 Total number of ways in which the letters of the word 'THERAPY' be arranged = 7! = 5040 Number of ways in which vowels are together = 6! x 2! = 1440 ∴ Required number of ways = 5040 - 1440 = 3600 Concept: Permutation and Combination (Entrance Exam) Is there an error in this question or solution? Description for Correct answer: The word THERAPY consists of 7 distinct letters in which E. A are two vowels. We get THRPY (EA) keeping EA together as single entity. Number of permutations when vowels are together = \( \Large 6! \times 2! \) = 1440 Therefore, Required number of arrangements = 7! - 1440 = 5040 - 1440 = 3600 Part of solved Permutation and combination questions and answers : >> Aptitude >> Permutation and combination Comments Similar Questions No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! No worries! We‘ve got your back. Try BYJU‘S free classes today! Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses No worries! We‘ve got your back. Try BYJU‘S free classes today! Open in App Suggest Corrections 1 Q: If it is possible to make a meaningful word with the first, the seventh, the ninth and the tenth letters of the word RECREATIONAL, using each letter only once, which of the following will be the third letter of the word? If more than one such word can be formed, give ‘X’ as the answer. If no such word can be formed, give ‘Z’ as the answer. Answer & Explanation Answer: D) R Explanation: The first, the seventh, the ninth and the tenth letters of the word RECREATIONAL are R, T, O and N respectively. Meaningful word from these letters is only TORN. The third letter of the word is ‘R’. |
How many ways can the letter of the word therapy be arranged so that the vowels never come together?
zusammenhängende Posts
Urheberrechte © © 2024 wiewird Inc.
