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2022 IIMC keystage2-EMIC individual Question 6

xIMC · 2022 IIMC keystage2-EMIC individual

Question 6

The diagram below on the left is made by five copies of the token on the right and one unit triangle:

Question illustration

In how many positions can we place the unit triangle on the board such that the rest of the board can be fully covered by the remaining $5$ tokens?

(Note: the tokens can be rotated or flipped).