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The number of arrangements of the letters in the word FAILURE, so that vowels are always coming together is
- a)576
- b)575
- c)570
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The number of arrangements of the letters in the word FAILURE, so that...
Now we have 3 consonants and 4 Vowels.
as all vowels have to come together let treat them one object so we now have 3 consonant and 1 this entity
so this can be arranged in 4! ways and 4 vowels internally in 4! ways so
final answer would be 4!x4! = 24x24 = 576
as all vowels have to come together let treat them one object so we now have 3 consonant and 1 this entity
so this can be arranged in 4! ways and 4 vowels internally in 4! ways so
final answer would be 4!x4! = 24x24 = 576
Most Upvoted Answer
The number of arrangements of the letters in the word FAILURE, so that...
The word FAILURE has 7letters 4 wovels and 3 consonants. In total there are 7 letters which are all different.
For all wovels to be together, let's make them a single entity.
So we have 4 entities to be arranged: F, L, R and AIUE
So number of possible arrangements will be 4!
Which is 24.
But the wovels as a group can also be arranged in 4! = 24 ways. (AIUE, AIEU, AUIE, etc.)
So the total number of possible arrangements is 24 * 24 = 576.
For all wovels to be together, let's make them a single entity.
So we have 4 entities to be arranged: F, L, R and AIUE
So number of possible arrangements will be 4!
Which is 24.
But the wovels as a group can also be arranged in 4! = 24 ways. (AIUE, AIEU, AUIE, etc.)
So the total number of possible arrangements is 24 * 24 = 576.
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Community Answer
The number of arrangements of the letters in the word FAILURE, so that...
There are 4 vovels so we can write statement like this(A,I,U,E)f,L,R now this starement permutation will be 4*3*2*1 but vovels can also rearrange there position so now vovels permutation will be 4*3*2*1 now total arrangements will be 4*3*2*1+4*3*2*1 which is 576
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The number of arrangements of the letters in the word FAILURE, so that vowels are always coming together isa)576b)575c)570d)none of theseCorrect answer is option 'A'. Can you explain this answer?
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The number of arrangements of the letters in the word FAILURE, so that vowels are always coming together isa)576b)575c)570d)none of theseCorrect answer is option 'A'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The number of arrangements of the letters in the word FAILURE, so that vowels are always coming together isa)576b)575c)570d)none of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of arrangements of the letters in the word FAILURE, so that vowels are always coming together isa)576b)575c)570d)none of theseCorrect answer is option 'A'. Can you explain this answer?.
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