yancey collects plastic banks. he has 3 different banks-a pig, cow and horse. how many ways can he arrange his banks n a shelf?

He has three choices for the left item, 2 choices for the middle item, and one and only one choice for the right item.

By the multiplication principle, there are 3*2*1=6 ways to arrange the banks on the shelf (where order is important).

3.2.1=6

To find the number of ways Yancey can arrange his banks on a shelf, we can use the concept of permutations.

Since Yancey has 3 different banks, he can arrange them in a specific order on the shelf. We need to find the number of permutations of the 3 banks.

The number of permutations of "n" objects is given by the formula n! (n factorial). "n!" means multiplying all positive integers from 1 to n.

In this case, n = 3. So, the number of ways Yancey can arrange his banks on the shelf is:

3! = 3 * 2 * 1 = 6

Therefore, there are 6 different ways Yancey can arrange his banks on the shelf.