How many ways can 3 math books 5 chemistry books and 7 physics books be arranged on a shelf if the books of each subject must be kept together?

2 Answers By Expert Tutors If the 3 math books are all different and the same for the chemistry and physics books then the 3 math books can be arranged 3!= 6 ways; chemistry 5!= 120 ways and physics=7!= 5040 ways.

How many ways can 5 books out of which 2 are of mathematics and 3 are of English be arranged such that books of same subject are always together?

Answer: 1,03,680 ways. Step-by-step explanation: Arrangement is given as 5!*

How many different ways can you arrange 3 books on a shelf?

different bundles of novels, and we have to put this bundle and other 3 books onto the shelf. So the total number of ways is 3! × (3 + 1)! = 144.

How many ways can 5 math books be arranged?

120 ways
See it? Whoa, dude! That’s 5! So, there are 120 ways to arrange five books on a bookshelf.

How many ways can we arrange for identical math books and 3 identical science books on a shelf?

Thus, the number of ways the books can be arranged is 1260.

How many ways can 5 different books be arranged on a shelf if two specified books must not be side by side?

So, there are 120 ways to arrange five books on a bookshelf.

How many ways can you arrange 5 books in a shelf?

How many ways can you arrange the Maths and physics books?

Therefore, there are only two arrangements of the subjects: 4 math followed by 3 physics OR 3 physics followed by 4 math. Thus, the number of possible ways to place the books is: 2 * 24 * 6 = 288. The 4 math books can be arrange in 4! = 24 ways and the 3 physics books in 3! = 6 ways.

How many math books should be on a 4-book shelf?

Since the subjects must be together, there must be all of the math books must be on one end of the shelf and all of the physics book on the other end. Therefore, there are only two arrangements of the subjects: 4 math followed by 3 physics OR 3 physics followed by 4 math.

How many ways are there to order the different subjects books?

Now, you have to consider each individual subject’s books. For Math, there are 4 different books. That means there are 4! or 24 ways to order these books. Then, for Physics, there are 6! or 720 ways to order these books. And for Chemistry, there are 2! or 2 ways to order these books.

How many ways can 11 books be arranged?

Eleven books consisting of 5 Mathematics, 4 Physics and 2 on Chemistry are placed on a shelf at random. Find the number of possible ways of arranging them on the assumption that the books on the same subject are all together. 11 books can be arranged in 11! ways.