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SMO 2006 Senior Round 1 Question 7

SMO · SMO 2006 Senior Round 1

Question 7

Five students $A,B,C,D,E$ form a team to take part in a $5$-leg relay competition. If $A$ cannot run the first leg and $D$ cannot run the last leg, how many ways can we arrange them to run the relay?
  1. $74$
  2. $76$
  3. $78$
  4. $80$
  5. $82$