how many different ways can someone arrange 6 books on a shelf? 12 OR 36 OR 720 OR 56?

Question

how many different ways can someone arrange 6 books on a shelf?
12

36

720

56

Answer 1

720
(= 6!)

This is because you can choose any of the 6 books to put on the shelf first.
Then you have 5 books left to arrange and you can choose any of them to put second. Then 4, 3, 2 and finally there's only one book left

so the number of ways is
6! = 6·5·4·3·2·1 = 720

Hope this helps.

Answer 2

6 X 5 X 4 X 2 X 1 = 720 or in a short way, 6! = 720

Answer 3

the ways that you can arrange 6 books on a shelve is 6! = 720

Reasoning behind this is

for the first empty space : there are 6 possible books you can put in there

2nd empty space, u can only choose out of 5 books to place there (since u've already placed one book in the first slot)

continue using this logic with the remaining books and you will get 6 * 5 * 4 * 3 * 2 * 1 = 6! = 720

Answer 4

Since the books are finite objects and cannot be used twice, the answer is: !6 (6 factorial)

6*5*4*3*2*1 = 720

This is the total number of combinations you can have on a shelf of 6 books.

If it was TITLES (meaning you could have 6 books with the same title) it would be 6^6=46656

Answer 5

Starting with six books, you can pick any of the six to be on the left, any of the remaining five to be next to it, any of the remaining four to be next to that, and so on, so the number of possibilities is 6 x 5 x 4 x 3 x 2 x 1, or 6! (six factorial), which is 720.

Answer 6

That's 6! = 720.
It's the number of permutations of 6 different objects.

Answer 7

6*5*4*3*2*1=720

Answer 8

6!= 6x5x4x3x2x1= 720 different ways

Answer 9

12 books would be 479 millio......better just plan on spending a whole afternoon in your library to check out all these arrangements.