Decide which method to use to find the number of possible outcomes. How many ways are there to select three bracelets from a box containing ten bracelets if order does not matter? For Teacher Use Only ORSPBDOK2 439120 M2L1Q1 Combination Fundamental Counting Principle Permutation

## Step 1The problem involves selecting three bracelets from a box containing ten bracelets, where the order of selection does not matter. This is a classic example of a combination problem.## Step 2A combination is a selection of items from a larger set where the order of selection does not matter. In this case, the order in which the bracelets are selected does not matter, so we use the combination method.## Step 3The formula for combinations is given by:### \(C(n, r) = \frac{n!}{r!(n-r)!}\)where is the total number of items, is the number of items to choose, and denotes factorial.## Step 4In this problem, (the total number of bracelets) and (the number of bracelets to choose).## Step 5Substitute and into the combination formula to find the number of ways to select three bracelets from ten.