Question

3 books of physics 4 books of chemistry and 5 books of mathematics are arranged in a shelf find the probability that no physics books are together​

Answer 1

3/4 is the answer 3 by 4

Answer 2

The final answer for the probability that no physics books are together.

To Find:

• The probability that no physics books are together​

Given:

• There are 3 books of physics, 4 books of chemistry, and 5 books of mathematics arranged in a shelf.

Solution:

The total number of ways to arrange the books is given by the number of permutations of the total number of books, which is 3 books of physics + 4 books of chemistry + 5 books of mathematics = 12 books. The number of permutations of 12 books is 12!.

To find the number of arrangements where no physics books are together, we can divide the total number of permutations by the number of permutations of physics books placed together. The number of permutations of physics books placed together is 3!.

So, the number of arrangements where no physics books are together is given by:

12! / (3! * (4! * 5!))

And the probability that no physics books are together is given by the number of arrangements where no physics books are together divided by the total number of arrangements, which is:

(12! / (3! * (4! * 5!))) / 12!

This is the final answer for the probability that no physics books are together.

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