You can put this solution on YOUR website! The number of permutations of 10 numbers on a spinner is **10!** (10 factorial).
* **Factorial:**
* 10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
* 10! = 3,628,800
**Explanation:**
* **Permutations:** Permutations refer to the different arrangements of a set of objects where the order matters.
* **Spinner:** A spinner with 10 distinct numbers can land on any of those numbers in any order.
Therefore, there are 3,628,800 possible permutations of 10 numbers on a spinner.
I interpret the problem in different way.
My solution and my answer are different from that by @CPhill.
A dictionary gives me these 5 possible treatments of the term "spinner".
1 - one that spins
2 - a fisherman's lure consisting of a spoon, blade, or set of wings that revolves when drawn through the water
3 - a conical sheet metal fairing that is attached to an airplane propeller boss and revolves with it
4 - a movable arrow that is spun on its dial to indicate the number or kind of moves a player may make in a board game
5 - spin doctor.
Of these possible treatments, I will use #4 as the most adequate to the problem.
Then the adequate mathematical reformulation of the problem is THIS:
How many circular permutations are possible for 10 different numbers ?
The answer is commonly/widely known:
The number of different circular permutations of 10 different items is (10-1)! = 9! = 9*8*7*6*5*4*3*2 = 362880.
