How many vowels are there in EDUCATION?

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Before young learners can get to sight words, they’ll need to be able to identify the core of every word: vowels. The defining characteristic of a vowel is that the tongue does not touch the roof of the mouth, teeth, or lips when pronounced. The good news is students have only a short list to master: A, E, I, O, U, and sometimes Y.

Get Started With Vowels

Sounding out vowels is a great way to understand their primary characteristic: that the tongue does not make contact with another part of the mouth during pronunciation. While the tongue doesn’t touch anything else, its position and motion are key to how vowels sound.

The International Phonetic Alphabet has identified several tongue and lip actions that affect how a vowel is articulated.

The three primary vowel articulation factors are:

  • Height: the vertical location of the tongue, as it relates to the roof of the mouth or the jaw. The terms close, near-close, close-mid, mid, open-mid, near-open, and open all relate to where on the spectrum the tongue is located, from high (close) to low (open).
  • Backness: the location of the tongue, in relation to the back of the mouth. There are five terms to describe backness: front, near-front, central, near-back, and back.
  • Roundedness: this characteristic refers to the lips, not the tongue. In general, more backness equals more rounded the lips.

Other types of vowel sounds include or are influenced by nasalization, vibrating vocal cords, advanced and retracted tongues, rhotic vowels, and contractions in the vocal tract.

To help young learners easily progress toward recognizing syllables, let them try their hand at the engaging Education.com vowel activities above. Your students will quickly remember that even though the letters A, E, I, O, U (and sometimes Y) can be pronounced in different ways, they are all important for how they connect to the consonants around them.

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.

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  • Permutation
  • Combination
  • Find the different 8 letter arrangements that can be made from the letters of the word DAUGHTER so that all vowels occur together.
  • Similar Problems
  • How many ways can one arrange the word EDUCATION such that relative positions of vowels and consonants remains same select one a 24 B 720 C 2880 D 120?
  • How many ways can one arrange the word EDUCATION such that relative positions of vowels?
  • How many ways can one arrange the word EDUCATION such that?
  • How many vowels are there in the word EDUCATION?

Permutation

A 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.

nPr = (n!)/(n – r)!

Here,

n = set dimensions, the total number of object in the set

r = subset dimensions, the number of objects to be choose from the set

Combination

The 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.

nCr =n!⁄((n – r)! r!)

Here,

n = Number of objects in group

r = Number of objects selected from the group

Find the different 8 letter arrangements that can be made from the letters of the word DAUGHTER so that all vowels occur together.

Solution:

Total number of letters in DAUGHTER = 8

Vowels in DAUGHTER = A, U, E (vowels are a, e, i, o, u)

Arranging all vowels, since all vowels occur together, they can be AUE, UAE, EAU and so on.

Number of Permutation 3 vowels,

= 3P3 

= 3!/(3 – 3)!

= 3!/0!

= 3 × 2 × 1 = 6 ways

Arranging 6 letters,

Number we need to arrange = 5 + 1 = 6

Number of permutations of 6 letters,

= 6P6

= 6!/(6 – 6)!

= 6!/0!

= 6 × 5 × 4 × 3 × 2 × 1 = 720

Thus, total number of arrangements = 720 × 6 = 4320

Similar Problems

Question 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:

Total number of letters in FATHER = 6

Vowels in FATHER = A, E (vowels are a, e, i, o, u)

Arranging all vowels, since all vowels occur together, they can be AE, EA and so on.

Number of Permutation 2 vowels,

= 2P2

= 2!/(2 – 2)!

= 2!/0!

= 2 × 1 = 2 ways

Arranging 5 letters,

Number needed to arrange = 4 + 1 = 5

Number of permutations of 5 letters,

= 5P5

= 5!/(5 – 5)!

= 5!/0!

= 5 × 4 × 3 × 2 × 1 = 120

Thus, total number of arrangements = 120 × 2 = 240

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:

Total number of letters in EDUCATION = 8

Vowels in EDUCATION = E, U, A, I, O (vowels are a, e, i, o, u)

Arranging all vowels

First, calculate when all vowels occur together, they can be EUAIO, UAIOE, AIOUE, IOEUA, OEUAI and so on.

Number of Permutation 5 vowels,

= 5P5

= 5!/(5 – 5)!

= 5!/0!

= 5 × 4 × 3 × 2 × 1 = 120 ways

Arranging 4 letters,

Number we need to arrange = 3 + 1 = 4

Number of permutations of 4 letters,

= 4P4

= 4!/(4 – 4)!

= 4!/0!

= 4 × 3 × 2 × 1 = 24

Thus, total number of arrangements = 120 × 24 = 2,880

So, when all vowels do not occur together, total possible arrangements = 8! – 2880 = 40320 – 2880 = 37440.

Question 3: How many different expressions can be established using the character of the word HARYANA?

Solution:

Total number of characters in HARYANA = 7

The character A repeats 3 times i.e, = 3!

 Number of expression that can be formed

= 7!/3!

= 7 × 6 × 5 × 4 × 3!/3!

​= 840 words

Question 4: What is the number of different expressions beginning and ending with a consonant, which can be completed of the word “EQUATION”? 

Solution:

Total number of characters in EQUATION = 8

8 characters i.e. 3 consonants 5 vowels.

The consonants are to settled 1st and last place and it can be done in 3P2 ways. 

Now 5 vowels and 1 consonant are left i.e. 6 letters which can be organized in 6! ways. Hence the number of expression under given condition is

3P2 × 6! = 6 × 720 = 4320.

Question 5: How many different expressions can be made with the letter of the word ‘ALLAHABAD’?

Solution:

There are total 9 character in the word ‘ALLAHABAD’ in which 4 are ‘A’ s, 2 are ‘L’ and remaining all are definite.

So, the needed number of words

= 9!/4!2! = (9 × 8 × 7 × 6 × 5 × 4!)/4! × 2!

= 7560

How many ways can one arrange the word EDUCATION such that relative positions of vowels and consonants remains same select one a 24 B 720 C 2880 D 120?

Hence, the total number of ways = 4!

How many ways can one arrange the word EDUCATION such that relative positions of vowels?

Therefore, the answer will be in (120*24) = 2880 ways.

How many ways can one arrange the word EDUCATION such that?

This is true as we have 5 vowels and 4 consonants and any other combination will force us to pair 2 vowels together. Thus, the number of arrangements possible : 5 *4 *4 *3 *3 *2 *2*1 = 5!* 4!

How many vowels are there in the word EDUCATION?

The 5 vowels are A, E, I, O, U. The total number of words present in the word EDUCATION is 9. In which E, U, A, I, O are vowels.

Does education have all vowels?

There are 5 vowels and 4 consonants in the word education.

What are the vowels in school?

Children begin to learn the alphabet during the early years/foundation stages in school and may begin to identify the letters 'a', 'e', 'i', 'o' and 'u' as vowels as they progress through KS1.

Are there 5 or 7 vowels?

The alphabet is made up of 26 letters, 5 of which are vowels (a, e, i, o, u) and the rest of which are consonants. A vowel is a sound that is made by allowing breath to flow out of the mouth, without closing any part of the mouth or throat.