a) The Lego company regularly publishes the number of ways to combine six idenically-colored two-by-four blocks of height 6. (The number is 102981500.)
i) How many ways can you combine three identically-colored two-by-four Lego blocks of height three? (Note: Ninety-degree and 180-degree rotations to not count as separate configurations.)
ii) Repeat (a-i) if the blocks are of three different colours.
iii) Repeat (a-i) if two blocks are white and one is red.
