At a horse show, ribbons are awarded for first, second, third, and fourth places. there are 16 horses in the show. how many different arrangements of four horses are possible?

43680 different arrangements are possible.

Step-by-step explanation:

The total number of horses are :16

We have to find different arrangement of four horses

Since, we have to find arrangements means we will use permutation

So, the required arrangement will be:

Now, using:

Here, n= 16 and r=4 on substituting the values we get:

Cancel out the common term that is 12! we get:

After simplification we get: 43680

Hence, 43680 different arrangements are possible.

a) 32pie square meters

step-by-step explanation: