Math Problem Statement

Peter must select 2 electives from a group of 7 courses. If all 7 of these courses are available each of the 4 hours from 8 A.M. to noon, from how many different 2-elective schedules (hours and what course at each hour) can Peter choose?

Solution

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Math Problem Analysis

Mathematical Concepts

Combinatorics
Permutations and Combinations

Formulas

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

Theorems

Combination theory
Fundamental Counting Principle

Suitable Grade Level

Grades 10-12

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