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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?
Most Upvoted Answer
The number of arrangements of the letters in the word `FAILURE’, so th...
Explanation:
To solve this problem, we need to consider the vowels as a single letter. So, the word `FAILURE’ can be considered as `FLR’ and the vowels `AUE’ can be considered as `V’. Now, we have to find the number of arrangements of the letters `FLRV’ such that the vowels always come together.
Steps:
To find the number of arrangements of the letters `FLRV’ such that the vowels always come together, we need to follow these steps:
1. Consider the group of vowels `V’ as a single letter.
2. Now, we have 4 letters `F’, `L’, `R’ and `V’. The number of arrangements of these 4 letters is 4! = 24.
3. But, the group `V’ can be arranged in 3! ways within itself. So, we need to subtract those arrangements from the total number of arrangements.
4. Therefore, the number of arrangements of the letters `FLRV’ such that the vowels always come together is 4! - 3! = 24 - 6 = 18.
Answer:
The number of arrangements of the letters in the word `FAILURE’, so that vowels are always coming together is option (d) none of these. Because the correct answer is 18, which is not given in any of the options.
Community Answer
The number of arrangements of the letters in the word `FAILURE’, so th...
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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?
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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? 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 is a) 576 b) 575 c) 570 d) none of these? 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 is a) 576 b) 575 c) 570 d) none of these?.
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? 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 is a) 576 b) 575 c) 570 d) none of these? 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 is a) 576 b) 575 c) 570 d) none of these?.
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