how many ways can you arrange three banks on a shelf

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To determine the number of ways to arrange three banks on a shelf, we can use the concept of permutations. A permutation is an arrangement of objects in a specific order.

Since we have three banks, we need to find the number of ways to arrange them. To do this, we can use the formula for permutations of n objects taken r at a time:

P(n, r) = n! / (n - r)!

In this case, we have n = 3 (the number of banks) and r = 3 (since we want to arrange all three banks). Plugging these values into the formula, we get:

P(3, 3) = 3! / (3 - 3)!
= 3! / 0!
= 3! / 1
= 3

Therefore, there are 3 ways to arrange three banks on a shelf.