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Grace, from Nottingham Girls High School, and Clement, from River Valley High School, managed to crack this problem. Well done to you both.
Clement tackled it in this way:
"Since the car ending with L was NOT beside the one starting with L, but was next to the one that started with J, we get these possibilities:
**** | L*** | L*** | L*** | J*** | **** | ***L | ***L |
L*** | **** | **** | J*** | ***L | ***L | J*** | J*** |
J*** | J*** | ***L | ***L | **** | J*** | L*** | **** |
***L | ***L | J*** | **** | L*** | L*** | **** | L*** |
Since the two cars with M on their plates were at opposite ends of the group, we get these possibilities:
***M | L**M | L**M | M*** | M**L | M**L |
L*** | **** | J*** | ***L | J*** | J*** |
J*** | J*** | ***L | J*** | L*** | **** |
M**L | M**L | M*** | L**M | ***M | L**M |
Since the car whose license plate ended in K had the one starting with L in front, we get:
***M | L**M | L**M |
L*** | ***K | J**K |
J**K | J*** | ***L |
M**L | M**L | M*** |
Since the car with a plate starting with K was not next to the one starting with an L, we get:
L**M |
J**K |
K**L |
M**J |
Therefore this is the order of the cars."
This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.