JEE Exam > JEE Questions > How many total words can be formed from the l...
Start Learning for Free
How many total words can be formed from the letters of the word INSURANCE in which vowels are always together?
- a)18270
- b)17280
- c)12780
- d)12790
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
How many total words can be formed from the letters of the word INSURA...
Most Upvoted Answer
How many total words can be formed from the letters of the word INSURA...
Total Words Formed from the Letters of the Word INSURANCE in which Vowels are Always Together
To solve this problem, we need to find the number of ways we can arrange the letters of the word INSURANCE such that the vowels are always together.
Step 1: Identify the vowels in the word INSURANCE
The vowels in the word INSURANCE are I, E, and U.
Step 2: Group the vowels together
Since we want the vowels to be together, we can treat the group of vowels (IEU) as a single letter.
Step 3: Find the number of ways to arrange the letters
Now we have 6 letters: N, S, R, C, IEU, and another N. We can arrange these letters in 6! ways. However, since the vowels (IEU) are treated as a single letter, we need to divide by 3! to account for the different arrangements of the vowels within the group.
Therefore, the total number of words that can be formed from the letters of the word INSURANCE in which vowels are always together is:
6! / 3! = 720 / 6 = 120
Answer: Option D (none of these)
Note: The options given in the question do not match the correct answer.
To solve this problem, we need to find the number of ways we can arrange the letters of the word INSURANCE such that the vowels are always together.
Step 1: Identify the vowels in the word INSURANCE
The vowels in the word INSURANCE are I, E, and U.
Step 2: Group the vowels together
Since we want the vowels to be together, we can treat the group of vowels (IEU) as a single letter.
Step 3: Find the number of ways to arrange the letters
Now we have 6 letters: N, S, R, C, IEU, and another N. We can arrange these letters in 6! ways. However, since the vowels (IEU) are treated as a single letter, we need to divide by 3! to account for the different arrangements of the vowels within the group.
Therefore, the total number of words that can be formed from the letters of the word INSURANCE in which vowels are always together is:
6! / 3! = 720 / 6 = 120
Answer: Option D (none of these)
Note: The options given in the question do not match the correct answer.
Free Test
FREE
| Start Free Test |
Community Answer
How many total words can be formed from the letters of the word INSURA...
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
How many total words can be formed from the letters of the word INSURANCE in which vowels are always together?a)18270b)17280c)12780d)12790Correct answer is option 'D'. Can you explain this answer?
Question Description
How many total words can be formed from the letters of the word INSURANCE in which vowels are always together?a)18270b)17280c)12780d)12790Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about How many total words can be formed from the letters of the word INSURANCE in which vowels are always together?a)18270b)17280c)12780d)12790Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many total words can be formed from the letters of the word INSURANCE in which vowels are always together?a)18270b)17280c)12780d)12790Correct answer is option 'D'. Can you explain this answer?.
How many total words can be formed from the letters of the word INSURANCE in which vowels are always together?a)18270b)17280c)12780d)12790Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about How many total words can be formed from the letters of the word INSURANCE in which vowels are always together?a)18270b)17280c)12780d)12790Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many total words can be formed from the letters of the word INSURANCE in which vowels are always together?a)18270b)17280c)12780d)12790Correct answer is option 'D'. Can you explain this answer?.
Solutions for How many total words can be formed from the letters of the word INSURANCE in which vowels are always together?a)18270b)17280c)12780d)12790Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of How many total words can be formed from the letters of the word INSURANCE in which vowels are always together?a)18270b)17280c)12780d)12790Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
How many total words can be formed from the letters of the word INSURANCE in which vowels are always together?a)18270b)17280c)12780d)12790Correct answer is option 'D'. Can you explain this answer?, a detailed solution for How many total words can be formed from the letters of the word INSURANCE in which vowels are always together?a)18270b)17280c)12780d)12790Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of How many total words can be formed from the letters of the word INSURANCE in which vowels are always together?a)18270b)17280c)12780d)12790Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice How many total words can be formed from the letters of the word INSURANCE in which vowels are always together?a)18270b)17280c)12780d)12790Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup