Question 6
The diagram below on the left is made by five copies of the token on the right and one unit triangle:

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).

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).