How many different ways can 5 different English books and 2 different science books be lined up on the shelf if the 2 science books must not be put next to each other?
103680 ways. This depends on if the books for each subject are the same book or different ones on the same subject. If they’re the same, then it doesn’t really matter how many there are since they’re to be placed together, so there are 3!= 6 ways to arrange the three subjects.
How many 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 you arrange books of a particular subject?
First we take books of a particular subject as one unit. Thus there are 4 units which can be arranged in 4! = 24 ways. Now in each of arrangements, mathematics books can be arranged in 3! ways, history books in 4! ways, chemistry books in 3! ways and biology books in 2! ways. Thus the total number of ways = 4! × 3! × 4! × 3! × 2! = 41472.
How many ways can 4 units be arranged in 4 ways?
Thus there are 4 units which can be arranged in 4! = 24 ways. Now in each of arrangements, mathematics books can be arranged in 3! ways, history books in 4! ways, chemistry books in 3! ways and biology books in 2! ways. Thus the total number of ways = 4! × 3! × 4! × 3! × 2! = 41472. ← Prev Question Next Question →
How many ways are there to order these 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. Then, we multiply all the calculated values by the Fundamental Counting Principle.
How many ways can a group of 3 math books be arranged?
A) assume 3 different math books as a single book. no. of ways to arrange 7 books = 7! group of 3 math books can also be arranged by 3! ways. so, total no. of ways = 7! * 3! answer is : 7! * 3! B) now, assume books of each subject as a single book. no. of ways to arrange 3 books = 3!