(i) No digit can be repeated:

To form a 3-digit number greater than 300, the hundreds digit must be 3, 4, 6, or 8. This gives us 4 options for the hundreds digit.

After choosing the hundreds digit, 5 digits remain for the tens place, and 4 digits remain for the units place.

The total number of such numbers is given by:

\(4 \times 5 \times 4 = 80\)

(ii) A digit can be repeated and the number made is even:

The number must be even, so the units digit must be 2, 4, 6, or 8, giving us 4 options for the units digit.

The hundreds digit must be 3, 4, 6, or 8 to ensure the number is greater than 300, giving us 4 options for the hundreds digit.

The tens digit can be any of the 6 digits (1, 2, 3, 4, 6, 8), giving us 6 options for the tens digit.

The total number of such numbers is given by:

\(4 \times 6 \times 4 = 96\)