Math Problem Statement

Suppose a group of size 7 must be formed from a class of 10 freshmen and 8 seniors. How many groups are possible if the group must have at least 3 freshmen?

Solution

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Combinations
Counting Principles

Formulas

Combination formula: C(n, k) = n! / (k!(n - k)!)

Theorems

Combination theorem

Suitable Grade Level

Grades 10-12