Question

A student wants to arrange 3 economics 2 history and 4 English book on a shelf. If the books on the same subjects are different the number of possible arrangements if all books on a particular subject are to be together

Answer 1

Step-by-step explanation:

The no of possible arrangements=362880

The no of possible arrangements if all books on a particular subject are to be together=1728

Answer 2

Step-by-step explanation:

Given A student wants to arrange 3 economics 2 history and 4 English book on a shelf. If the books on the same subjects are different the number of possible arrangements if all books on a particular subject are to be together

• Given a student wants to arrange the books on a shelf accordingly.
• Number of economic books = 3
• Number of history books is = 2
• Number of English books = 4
• Now if the books of the same subject are different the number of possible arrangements will be 3 + 2 + 4 = 9
• So we need to arrange 9 books and the total number of ways to do it will be 9! Ways
• Which will be 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 362880 ways
• Now if all books on a particular subject are together then the probability will be
• 3 ! x 3 ! x 2! X 4! Which will be 3 x 2 x 3 x 2 x 2 x 4 x 3 x 2 = 1728 ways

Reference link will be

https://brainly.in/question/5175450