Oliver starts with a collection of bricks in which the combined number of blue and green bricks is odd. Explain why he cannot end up with a combined number of blue and green bricks that is even. Oliver got frustrated sometimes with his somewhat limited set of red,blue, and green building bricks. Part way through a project, he often ranout of bricks of one particular colour. So he invented some 3D printingmachines that transform a brick of one colour into a combination ofbricks of one or more colours. Each machine can also operate in reverse.The red machine (R) converts 1 red brick (r) into 1 blue brick (b) and 1green brick (g). This process and its reverse are represented byR-1→ r.and bgRrbgSimilarly, for the blue machine (B) we haveBb→ rgandrg→ b.And for the green machine (G) we haveG-1→ rbandrb→ g.The machines can be used on collections of bricks, performing one con-version at a time. For example, 3 blue bricks can be converted into 1red and 3 green bricks in three steps, as follows:G-1→ rgggBBbbb > rgbb P→ rgrgb

Name: Oliver starts with a collection of bricks in which the combined number
Uploaded: 2024-03-05T11:52:21.000Z
Channel: Bartleby
Description: Oliver starts with a collection of bricks in which the combined number of blue and green bricks is odd. Explain why he cannot end up with a combined number of blue and green bricks that is even. Oliver got frustrated sometimes with his somewhat limit