An ice cream store sells 20 flavors of determine the number 3 dip sundaes?

To determine the number of 3 dip sundaes that can be made with 20 flavors of ice cream, we need to calculate the combinations of 3 flavors that can be chosen from the 20 available.

We can use the combination formula: C(n, r) = n! / (n - r)! / r!, where n is the total number of items, r is the number of items to be chosen, and ! denotes the factorial function.

In this case, n = 20 (total number of flavors) and r = 3 (number of flavors to be chosen for each sundae).

So, the number of 3 dip sundaes = C(20, 3) = 20! / (20 - 3)! / 3! = 20! / 17! / 3! = (20 x 19 x 18) / 6 = 1140

Therefore, 1140 different 3 dip sundaes can be made with 20 flavors of ice cream.