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2018 AMC 10A Question 4

AMC10 · 2018 AMC 10A

Question 4

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.)
  1. $3$
  2. $6$
  3. $12$
  4. $18$
  5. $24$