A Martian colony plans to plant 3 different types of genetically engineered crops: Podestation Beans (P), Radiophyll Crops (R), and Lumina Greens (L). They intend to plant 5 units of P, 4 units of R, and 3 units of L in a row. How many distinct arrangements are possible if crops of the same type are indistinguishable from each other? - Treasure Valley Movers