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If 3 books on computer 3 books on commerce and 5 books on economics are arranged in such a way that the book of same subject are kept together then the number of ways in which these can be done are first?
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If 3 books on computer 3 books on commerce and 5 books on economics ar...
Number of Ways to Arrange Books
To determine the number of ways in which the books can be arranged, we need to consider the arrangement of books within each subject category (computer, commerce, and economics) as well as the overall arrangement of the subject categories themselves.
Arrangement of Computer Books
Since there are 3 books on computer, we can arrange them among themselves in 3! (6) ways.
Arrangement of Commerce Books
Similarly, since there are 3 books on commerce, we can arrange them among themselves in 3! (6) ways.
Arrangement of Economics Books
Since there are 5 books on economics, we can arrange them among themselves in 5! (120) ways.
Arrangement of Subject Categories
There are 3 subject categories (computer, commerce, and economics), and we need to determine the number of ways they can be arranged. Since these subject categories are distinct, we can arrange them in 3! (6) ways.
Total Number of Ways
To find the total number of ways to arrange the books, we need to multiply the number of ways for each category:
Total number of ways = Arrangement of Computer Books × Arrangement of Commerce Books × Arrangement of Economics Books × Arrangement of Subject Categories
Total number of ways = 3! × 3! × 5! × 3!
Calculating the factorials:
Total number of ways = 6 × 6 × 120 × 6
Total number of ways = 25920
Therefore, there are 25920 ways to arrange the 3 books on computer, 3 books on commerce, and 5 books on economics while keeping the books of the same subject together.
To determine the number of ways in which the books can be arranged, we need to consider the arrangement of books within each subject category (computer, commerce, and economics) as well as the overall arrangement of the subject categories themselves.
Arrangement of Computer Books
Since there are 3 books on computer, we can arrange them among themselves in 3! (6) ways.
Arrangement of Commerce Books
Similarly, since there are 3 books on commerce, we can arrange them among themselves in 3! (6) ways.
Arrangement of Economics Books
Since there are 5 books on economics, we can arrange them among themselves in 5! (120) ways.
Arrangement of Subject Categories
There are 3 subject categories (computer, commerce, and economics), and we need to determine the number of ways they can be arranged. Since these subject categories are distinct, we can arrange them in 3! (6) ways.
Total Number of Ways
To find the total number of ways to arrange the books, we need to multiply the number of ways for each category:
Total number of ways = Arrangement of Computer Books × Arrangement of Commerce Books × Arrangement of Economics Books × Arrangement of Subject Categories
Total number of ways = 3! × 3! × 5! × 3!
Calculating the factorials:
Total number of ways = 6 × 6 × 120 × 6
Total number of ways = 25920
Therefore, there are 25920 ways to arrange the 3 books on computer, 3 books on commerce, and 5 books on economics while keeping the books of the same subject together.
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If 3 books on computer 3 books on commerce and 5 books on economics are arranged in such a way that the book of same subject are kept together then the number of ways in which these can be done are first?
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If 3 books on computer 3 books on commerce and 5 books on economics are arranged in such a way that the book of same subject are kept together then the number of ways in which these can be done are first? 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 If 3 books on computer 3 books on commerce and 5 books on economics are arranged in such a way that the book of same subject are kept together then the number of ways in which these can be done are first? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 3 books on computer 3 books on commerce and 5 books on economics are arranged in such a way that the book of same subject are kept together then the number of ways in which these can be done are first?.
If 3 books on computer 3 books on commerce and 5 books on economics are arranged in such a way that the book of same subject are kept together then the number of ways in which these can be done are first? 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 If 3 books on computer 3 books on commerce and 5 books on economics are arranged in such a way that the book of same subject are kept together then the number of ways in which these can be done are first? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 3 books on computer 3 books on commerce and 5 books on economics are arranged in such a way that the book of same subject are kept together then the number of ways in which these can be done are first?.
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