How many ways can the letters of the word answer can be arranged so that the vowels are always together 300?
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The word is 'LEADER'. Calculation: The number of letter in LEADER = 6 The number of times letter E is present = 2 The total number of ways = 6!/2! The total number of ways = 6 × 5 × 4 × 3 × 2 × 1/2 × 1 = 360 ∴ The total number of ways is 360. Download Solution PDF In what number of ways can the letters of the word 'ABLE' be arranged so that the vowels occupy even places?
Answer (Detailed Solution Below)Option 2 : 4 Concept: Number of ways to arrange n things in r places is given by, nCr Calculation: In word ABLE, there are 2 vowels and 2 consonants. Total number of letters = 4 Total number of even place = 2 There are 2 vowels to be filled in 2 places. ⇒ The number of ways = 2C2 = 1 ⇒ The vowels can arrange among themselves in 2! = 2 ways. ⇒ The 2 consonants can fill the remaining 2 places in 2! = 2 ways. ⇒ Total number of ways = 1 × 2 × 2 = 4 ways. Hence, option (2) is correct. Permutation and Combination
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Dicussion/Forum aptitude 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’. View Answer Report Error Discuss Discussion :: Permutation and Combination - General Questions (Q.No.2)
How many ways can the letters of the word answer can be arranged so that the vowels are always together?Step-by-step explanation:
= 120 ways. The vowels (AE) can be arranged among themselves in 2 ! = 2 ways. Required number of ways = 120 * 2 = 240.
How many ways can the letters of corporation be arranged so that the vowels are all together?So, the total number of ways of arranging the letters of the word 'CORPORATION' be arranged so that the vowels always come together are 7!
How many ways can the letters of the word Missouri be arranged so that all vowels do not occur?In the word MISSOURI, the letters S and I are repeated twice and hence we can not use this in the arrangement of letters. If we ignore the repetition of the letters, the total distinct letters to be arranged are 6, that is, M, I, S, O, U and R. Hence, the number of permutations possible = 6! =720.
How many arrangements are there of the letters from brains in which the vowels are together?Hence, 302400 different arrangements can be made when all vowels are together. 2) All the vowels are not together. First arrange the consonants then arrange the vowels. After arranging 9 consonants there 10 places will remain blank.
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