Line Plots · Superchallenge problem

A line plot shows the lengths of $8$ ribbons. Each ribbon is $\dfrac{1}{4}$, $\dfrac{1}{2}$, $\dfrac{3}{4}$ or $1$ foot long, and each of these four marks has at least one X. Laid end to end, the ribbons are exactly $5$ feet long. How many different line plots are possible? (Two line plots are different if some mark has a different number of X's.)