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2012 AMC 10B Question 11

AMC10 · 2012 AMC 10B

Question 11

A dessert chef prepares the dessert for every day of a week starting with Sunday. The dessert each day is either cake, pie, ice cream, or pudding. The same dessert may not be served two days in a row. There must be cake on Friday because of a birthday. How many different dessert menus for the week are possible?
  1. $ 729 $
  2. $ 972 $
  3. $ 1024 $
  4. $ 2187 $
  5. $ 2304 $