Problem #WSP-000272

Problem

Steve, a student, has discovered that he lost most of his socks, and as a result, none of them match anymore. He has $4$ black right socks, $6$ blue right socks, $8$ black left socks, and $5$ blue left socks. Additionally, he has $2$ pairs of blue trousers and $3$ pairs of black trousers. Steve wants to ensure that his clothing items match in colour, so they desire to have left socks, right socks, and trousers of the same colour. How many different ways can Steve dress up given these conditions?