Question

3 books of mathematics and 5 books of physics placed on a shelf so that the books on the same subject always remain together. The possible arrangements are a)1440 b) 1956 c)720 d)none of these

Answer 1

hey

here's your answer

3! × 5!

i.e 720

Answer 2

Answer:

There are total 1440 possible combinations of arranging books.

Step-by-step explanation:

Given that :

• 3 books of mathematics and 5 books of physics are to be arranged
• Books of same subject always remains together.

Solution :

• No. of ways in which 3 books of mathematics can be arranged are 3! = 3 x 2 x 1 = 6.
• No. of ways in which 5 books of physics can be arranged are 5! = 5 x 4 x 3 x 2 x 1 = 120.
• No. of ways in which these 2 pairs of books be arranged on shelf are 2! = 2 x 1 = 2.
• Hence, total possible combinations are 2 x 6 x 120 = 1440 combination.