How many words can be formed from the letters of the word daughter so that vowels always come 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:
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How many different words can be formed with the letters of the word daughter so that ending and beginning letters are consonants?⋅6C3⋅3! =14400. The answer given in my textbook is 36000.
How many 4 letter word can be formed from the given word daughter such that every word must contain the letter G?3! Therefore, there are 840 words possible with the given condition.
How many ways can the letters of the word daughter be arranged so that the vowels may appear in the odd places?This is Expert Verified Answer
Here, A, U, E are vowels. And there are 5 consonants. So, there are 4 odd places. Hence, there are 2880 different words.
How many words can you make out of daughter?189 words can be made from the letters in the word daughter.
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