You have twelve scrabble tiles

A D F I L L N O O R R Y

There are many ways of arranging these twelve tiles to arrange twelve letter ‘words’ (none of which are English).

Easy question. How many possible ‘words’ are there if in each of the pairs (L O R) the tiles are distinguishable?

Moderate question. If the tiles in each pair are indistinguishable (so a transposition doesn’t create a different word), how many words are there?

Hard question. If you take all the ‘words’ in the second question and arrange them in alphabetical order, in which position does ROLLONFRIDAY appear?