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Scheduling courses no consecutive periods

1300ApprenticeCombinatoricsCounting Principles

AMC 12A · 2018 · Problem 3

How many ways can a student schedule $3$ mathematics courses -- algebra, geometry, and number theory -- in a $6$-period day if no two mathematics courses can be taken in consecutive periods? (What courses the student takes during the other $3$ periods is of no concern here.)

Answer choices

A
3
B
6
C
12
D
18
E
24
0 students attempted0% solvedRating 1300

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