To solve this problem, we can use the concept of permutations in combinatorics.

Step 1: Consider the two books that must always be together as one item. So now we have 4 items in total - the 3 individual books and 1 pair of books.

Step 2: These 4 items can be arranged in 4! (4 factorial) ways. 4 factorial means 4*3*2*1 = 24.

Step 3: However, within the pair of books, the two books can be arranged in 2! (2 factorial) ways. 2 factorial means 2*1 = 2.

Step 4: Therefore, the total number of ways the books can be arranged is 4! * 2! = 24 * 2 = 48.

So, the answer is 48.

Question

To solve this problem, we can use the concept of permutations in combinatorics.

Step 1: Consider the two books that must always be together as one item. So now we have 4 items in total - the 3 individual books and 1 pair of books.

Step 2: These 4 items can be arranged in 4! (4 factorial) ways. 4 factorial means 4*3*2*1 = 24.

Step 3: However, within the pair of books, the two books can be arranged in 2! (2 factorial) ways. 2 factorial means 2*1 = 2.

Step 4: Therefore, the total number of ways the books can be arranged is 4! * 2! = 24 * 2 = 48.

So, the answer is 48.

Knowee AI · Accepted Answer

To solve this problem, we can use the concept of permutations in combinatorics.

Step 1: Consider the two books that must always be together as one item. So now we have 4 items in total - the 3 individual books and 1 pair of books.

Step 2: These 4 items can be arranged in 4! (4 factorial) ways. 4 factorial means 4*3*2*1 = 24.

Step 3: However, within the pair of books, the two books can be arranged in 2! (2 factorial) ways. 2 factorial means 2*1 = 2.

Step 4: Therefore, the total number of ways the books can be arranged is 4! * 2! = 24 * 2 = 48.

So, the answer is 48.

n how many ways can 5 different books be arranged on a shelf if two particular books must always be together?Choices:- 48 96 120 240

Question

In how many ways can 5 different books be arranged on a shelf if two particular books must always be together?

Solution

Similar Questions

Upgrade your grade with Knowee