Question

You have a frame that holds three pictures. You pulled out your favorite five photos.Make a list of all the possible

How many sets of three are there?combinations
using the numbers 1 through 5 to represent the photos.

Answer 1

there are 10 possible combinations when selecting three photos out of five.

Explanation:

The formula to calculate combinations is given by:

C(n, r) = n! / (r! * (n - r)!

In this case, we have 5 photos (n = 5) and we want to select 3 photos (r = 3). Plugging these values into the formula,

C(5, 3) = 5! / (3! * (5 - 3)!)

C(5, 3) = (5 * 4 * 3!) / (3! * 2 * 1)

C(5, 3) = (5 * 4) / (2 * 1) = 10