Team Split

There are $15$ people that need to be split up into three teams $-$ the quant team, which needs $6$ people, the trading team, which needs $3$ people, and the engineering team, which needs $6$ people. Three of the people $-$ Lewis, Lilly, and Scotty $-$ don't know how to code and thus can't be put on the engineering team. How many different ways can teams be formed?