In how many ways is it possible to select three objects from a set of six objects? Use the letters A, B, C, D, E and

To find the number of ways to select three objects from a set of six objects (A, B, C, D, E, and F), you can use the combination formula, often denoted as "n choose k," where n is the total number of objects to choose from (in this case, 6 objects), and k is the number of objects you want to choose (in this case, 3 objects). The formula for combinations is: C(n, k) = n! / (k! * (n - k)!) Where "!" denotes factorial, which is the product of all positive integers up to a given number. In this case, you want to find C(6, 3): C(6, 3) = 6! / (3! * (6 - 3)!) C(6, 3) = (6 * 5 * 4) / (3 * 2 * 1) Now, calculate the values: C(6, 3) = (120) / (6) C(6, 3) = 20 So, there are 20 different ways to select three objects from a set of six objects (A, B, C, D, E, and F).