Problem

As head of quality control, Silvia examined 15 motors, one at a time, and found six defect...

As head of quality control, Silvia examined 15 motors, one at a time, and found six defective (D) motors and nine in good (G) working condition. If she listed each finding (of D or G) after examining each individual motor, in how many ways could Silvia’s list start with a run of three G’s and have six runs in total?

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