How many arrangements vowels occur together?
In mathematics, permutation relates to the function of ordering all the members of a group into some series or arrangement. In other words, if the group is already directed, then the redirecting of its components is called the process of permuting. Permutations take place, in more or less important ways, in almost every district of mathematics. They frequently appear when different commands on certain limited places are observed. Show
PermutationA permutation is known as the process of organizing the group, body, or numbers in order, selecting the or numbers from the set, is known as combinations in such a way that the sequence of the integer does not bother. Permutation Formula In permutation, r items are collected from a set of n items without any replacement. In this sequence of collecting matter.
CombinationThe combination is a way of choosing objects from a group, such that (unlike permutations) the sequence of choosing does not matter. In smaller cases, it is imaginable, to sum up, the number of combinations. Combination refers to the combination of n objects taken k at a time without repetition. To mention combinations in which repetition is allowed, the expressions k-selection or k-combination with repetition are frequently used. Combination Formula In combination, r objects are selected from a group of n objects and where the sequence of selecting does not matter.
Find the different 8 letter arrangements that can be made from the letters of the word DAUGHTER so that all vowels occur together.Solution:
Similar ProblemsQuestion 1: Find the number of different 6 letter arrangements that can be made from the letters of the word FATHER so that all vowels occur together? Solution:
Question 2: Find the number of different 8-letter arrangements that can be made from the letters of the word EDUCATION so that all vowels do not occur together? Solution:
Question 3: How many different expressions can be established using the character of the word HARYANA? Solution:
Question 4: What is the number of different expressions beginning and ending with a consonant, which can be completed of the word “EQUATION”? Solution:
Question 5: How many different expressions can be made with the letter of the word ‘ALLAHABAD’? Solution:
How many arrangements if vowels are together?The vowels (EAI) can be arranged among themselves in 3! = 6 ways. Required number of ways = (120 x 6) = 720.
How many arrangements start with a vowel?How many arrangements start with a vowel ? Total number of arrangement's = 8!
How many arrangements are there of the word mathematics if vowels occur together?Total number of ways in which letters in word “Mathematics” are arranged = 11!/(2! × 2! × 2!) ∴ Probability that vowels are kept together is 4/165.
Do all the vowels occur together?2) all vowels do not occur together.
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