CA Foundation Exam  >  CA Foundation Questions  >  In how many ways the word “arrange” be arrang... Start Learning for Free
In how many ways the word “arrange” be arranged such that the 2 „r‟ do not come together? (a) 1000 (b) 900 (c) 800 (d) None?
Most Upvoted Answer
In how many ways the word “arrange” be arranged such that the 2 „r‟ do...
**Solution:**

To find the number of ways the word "arrange" can be arranged such that the 2 'r's do not come together, we need to use the concept of permutations.

**Step 1:**
First, let's find the total number of ways the letters in the word "arrange" can be arranged without any restrictions. The word "arrange" has 7 letters, so the total number of arrangements is given by 7!.

**Step 2:**
Now, let's find the number of ways the 2 'r's can come together. We can treat the 2 'r's as a single entity, which means we have 6 entities to arrange (ar, a, n, g, e, e). The number of arrangements of these 6 entities is given by 6!.

**Step 3:**
However, since the 2 'e's are repeated, we need to divide the number of arrangements in step 2 by 2! to account for the repetition. This is because the arrangements "arrengae" and "arrengae" are considered the same.

**Step 4:**
Finally, to find the number of ways the 2 'r's do not come together, we subtract the result from step 3 from the total number of arrangements in step 1.

Therefore, the number of ways the word "arrange" can be arranged such that the 2 'r's do not come together is given by:

7! - (6! / 2!) = 5040 - (720 / 2) = 5040 - 360 = 4680

Hence, the correct option is (d) None, as none of the given options (a), (b), or (c) match the calculated value.

Note: The calculation is not possible within the given word limit.
Community Answer
In how many ways the word “arrange” be arranged such that the 2 „r‟ do...
1000
Explore Courses for CA Foundation exam
In how many ways the word “arrange” be arranged such that the 2 „r‟ do not come together? (a) 1000 (b) 900 (c) 800 (d) None?
Question Description
In how many ways the word “arrange” be arranged such that the 2 „r‟ do not come together? (a) 1000 (b) 900 (c) 800 (d) None? 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 In how many ways the word “arrange” be arranged such that the 2 „r‟ do not come together? (a) 1000 (b) 900 (c) 800 (d) None? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In how many ways the word “arrange” be arranged such that the 2 „r‟ do not come together? (a) 1000 (b) 900 (c) 800 (d) None?.
Solutions for In how many ways the word “arrange” be arranged such that the 2 „r‟ do not come together? (a) 1000 (b) 900 (c) 800 (d) None? in English & in Hindi are available as part of our courses for CA Foundation. Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of In how many ways the word “arrange” be arranged such that the 2 „r‟ do not come together? (a) 1000 (b) 900 (c) 800 (d) None? defined & explained in the simplest way possible. Besides giving the explanation of In how many ways the word “arrange” be arranged such that the 2 „r‟ do not come together? (a) 1000 (b) 900 (c) 800 (d) None?, a detailed solution for In how many ways the word “arrange” be arranged such that the 2 „r‟ do not come together? (a) 1000 (b) 900 (c) 800 (d) None? has been provided alongside types of In how many ways the word “arrange” be arranged such that the 2 „r‟ do not come together? (a) 1000 (b) 900 (c) 800 (d) None? theory, EduRev gives you an ample number of questions to practice In how many ways the word “arrange” be arranged such that the 2 „r‟ do not come together? (a) 1000 (b) 900 (c) 800 (d) None? tests, examples and also practice CA Foundation tests.
Explore Courses for CA Foundation exam

Top Courses for CA Foundation

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev