How many words can be formed of the letter in a word failure such that vowels always come together?

Table of Contents

• All Answers
• Popular Questions: English
• There are 4 vowels and 3 consonants in the word 'FAILURE' We have to arrange 7 letters in a row such that consonants occupy odd places. There are 4 odd places [1, 3, 5, 7]. There consonants can be arranged in these 4 odd places in 4P3 ways. Remaining 3 even places [2, 4, 6] are to be occupied by the 4 vowels. This can be done in 4P3 ways. Hence, the total number of words in which consonants occupy odd places = 4P3×4P3 = 4![4−3]!×4![4−3]! = 4×3×2×1×4×3×2×1 = 24×24 = 576.
• How many words can be formed of the letters in the word failure the four vowels always coming together?
• How many words can be formed from the letters of the word failure?
• How many words can be formed of the letters in the word failure such that the consonants are together and the vowels are also together?
• How many words can you make with 4 letters?

All Answers

Hi

Here is ur answer

Consonants in FAILURE : F , I , and R

Vowels in FAILURE: A, I , U , and E

It is given that vowels should come together

Vowels can be arranged in 4! ways

Consonants be in 4 * 3! = 24

Therefore,

The total number of ways = 24 * 4 !

                                           = 24*4*3*2*1

                                           = 24 * 24

                                           = 576

Hope it helps U

ernest still lived in native valley. he was simple hearted man. he always worked for the betterment of the world. though he was considered to be an ordinary man yet he was humble and rich in thoughts. with the passage of time ,ernest became old. he had wise thoughts in mind. he had become famous all over the world. men came from distant places to see and speak to . a new poet had appeared on earth ernest had been growing old. the poet was a native of ernest's valley but had stayed in distant cities for a long period. the poet had heard of ernest's character. one day, he came to door. ernest was reading a book and glancing lovingly at the mountain from time to time. ernest gave shelter for the night. the great stone face looked kindly at the poet. the poet found ernest ,wise ,gentle and kind.

ernest used to speak to neighbours every evening. the poet also accompanied the poet listened to talk. he felt that ernest's life and character were a far nobler kind of poetry than own poems just then ,the poet saw the great stone face . he declared ernest as the likeness of the great stone face every body agreed with . ernest still hoped that someone wiser and better than would appear sometime, bearing a likeness to the great stone face.

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Popular Questions: English

In how many ways can the letters of the word 'FAILURE' be arranged so that the consonants may occupy only odd positions?

Solution

There are 4 vowels and 3 consonants in the word 'FAILURE' We have to arrange 7 letters in a row such that consonants occupy odd places. There are 4 odd places [1, 3, 5, 7]. There consonants can be arranged in these 4 odd places in 4P3 ways. Remaining 3 even places [2, 4, 6] are to be occupied by the 4 vowels. This can be done in 4P3 ways. Hence, the total number of words in which consonants occupy odd places = 4P3×4P3 = 4![4−3]!×4![4−3]! = 4×3×2×1×4×3×2×1 = 24×24 = 576.

How many words can be formed of the letters in the word failure the four vowels always coming together?

=24×24=576 ways.

How many words can be formed from the letters of the word failure?

Let us cancel the common terms. Therefore, there are 480 words that can be formed using the letters of the word FAILURE so that F is included in each word.

How many words can be formed of the letters in the word failure such that the consonants are together and the vowels are also together?

Answer is 576. There are seven letters in the word 'FAILURE' out of which the consonants are- F, L and R. And the vowels are A,E,I and U.

How many words can you make with 4 letters?

There are 3,996 legal four-letter words, according to the Official Scrabble Player's Dictionary, Volume 6.

How many words can be formed with the letters of the word failure?

How many words can be formed when vowels are always together?

How many ways can be letter of the word failure be arranged so that the consonants occupy only odd places?

How many permutation are there in the word failed?