Legox bricks come in different colours and sizes. Bricks of the same size and colour are identical.

Question

Legox bricks come in different colours and sizes. Bricks of the same size and colour are identical. Jamie has $9$ Legox bricks. The following table shows the various colours and sizes of Legox bricks that Jamie has.

	Small	Medium	Large
Green	$0$	$0$	$2$
Blue	$1$	$1$	$1$
Red	$2$	$2$	$0$

Jamie decides to use only $4$ bricks to arrange in a row. Find the number of different possible arrangements if all $3$ colours are used.[4]

Accepted Answer

$360$

	Small	Medium	Large
Green	\(0\)	\(0\)	\(2\)
Blue	\(1\)	\(1\)	\(1\)
Red	\(2\)	\(2\)	\(0\)

2020 CJC P2 Q9 [Modified]

2020 CJC P2 Q9 [Modified]

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