Louis, lucas, garcelle, and sheryl go bowling every week. when ordere for highest to lowest, how many ways can their scores be arranged if lucas is never first and garcelle always beats louise.?

Since lucas is never first and garcelle always beats louise it could be garcelle, louise then lucas or garcelle lucas louise 2 options

Well if Louis = L2, Lucas = L1, Garcelle = G and Sheryl = S, these are the possibilities.
S,L1,G,L2
S,G,L1,L2
S,G,L2,L1
G,S,L1,L2
G,S,L1,L2
G,L1,S,L2
G,L2,S,L1
G,L1,L2,S
G,L2,L1,S This is 9 possibilities so 9. I might be wrong though.

Set up a system of equations