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 you arrange 4 different math books and three different science books on a shelf?

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. , I answered the question below.

How many ways are there to arrange 6 books on a shelf if the 4 science books must be grouped together and the 2 English books must be grouped together?

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. Then, we multiply all the calculated values by the Fundamental Counting Principle. 6⋅24⋅720⋅2=207360 ways to order these books.

How many ways can you arrange three math books and six science books if the math books should always be together?

Solution: (a) There are 3 + 2 + 1 = 6 books on the shelf, so the number of arrangements with no restriction is 6! = 720.

How many ways can 4 identical books of math and 3 identical books of literature be arranged such that the three literature books are not together?

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

How many ways 4 Economic books 3 accountancy books 2 maths books can be arranged so that books on the same subject are always together?

×3! ×2! Thus, the required number of ways to arrange these books such that the books of the same subjects are together is 51840.

How many ways can 5 different mathematics book 4 different science books and 3 different English books be arranged on a shelf?

Ways to arrange 5 Math books, 4 Science books and 3 English books on a shelf so that same subjects are kept together. Thus 6 (subject) x 120 (Math) x 24 (Science) x 6 (English) = 103,680 ways to line up all books while keeping subjects together.

How many ways can 5 different mathematics books 4 different science books and 3 different English books be arranged on a shell?

Answer: 1,03,680 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 ways can we arrange 4 identical math books and 3 identical science books on a shelf?

How many ways can you arrange the math books?

2) First arrange the math books. there are 4! ways to do this. since they have to stay this way – together – consider the math subject now as 1 big “book”, 6 physics boos and 2 chemistry books. Then we have 1+6+2=9 “books” and can arrange them 9! ways. So we can have 4!9!=8,709,120 arrangements.

How many ways can 6 books be arranged on a shelf?

How many ways can 6 different books be arranged on a shelf? There are 720 ways. See explanation. To calculate the number of ways in which n elements can be arranged in a sequence you should use the permutations: n = P 6 = 6! To calculate the factorial you have to multiply all natural numbers between 1 and 6:

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 different arrangements are possible if the books in question 737642?

How many different arrangements are possible if a) The books in Question 737642: 4 different math books, 6 different physics books and 2 different chemistry books are to be arranged on a shelf. How many different arrangements are possible if