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To find the number of ways to select 3 representatives from a class of 30 students, you can use the combination formula, often denoted as "n choose k" or C(n, k), where n is the total number of items to choose from, and k is the number of items to choose.
The formula for combinations is:
C(n, k) = n! / (k! * (n - k)!)
In this case, n = 30 (total number of students) and k = 3 (number of representatives to choose). Plug these values into the formula:
C(30, 3) = 30! / (3! * (30 - 3)!)
Now, calculate the factorials:
C(30, 3) = (30 × 29 × 28) / (3 × 2 × 1)
C(30, 3) = (30 * 29 * 28) / (3 * 2 * 1)
C(30, 3) = 4060
So, there are 4060 ways to select 3 representatives from a class of 30 students.
