3 pairs of trophies are chosen.

1 pair must be racing trophies, so "select" 2 from 4 to find out how many pairs of racing trophies you can have.

Another pair must be high-jump trophies, so "select" 2 from 9.

Another pair must be cycling trophies, so "select" 2 from 5.

You can combine any pair of racing trophies with any pair of high-jump trophies,

hence multiply the selections.

Those 4 can go with any pair of cycling trophies, so multiply again.

Use nCr for the selections.

For your Q1, you've calculated displays with the 6 trophies in different positions.

Is this feasible?