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BEBRAS 2021 Grade 9-10 Round 2 Ext Question 11

BEBRAS · BEBRAS 2021 Grade 9-10 Round 2 Ext

Question 11

Betty has many cards bearing ABBA,GAGA,GIBB,IGGY. She can place cards consecutively or overlap them; a new card covers the letters underneath. For example: place GIBB; overlap ABBA to get GIABBA; append GAGA to get GIABBAGAGA; overlay IGGY to get GIABIGGYGA. Which string can she certainly not make?
  1. AGGIBBAGGAGABABGA
  2. AGGIBBAGAGGABABGA
  3. AGIBBGAGAGGYBAYBB
  4. AGGIBBAGAGGYBAGGY