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A hockey team has 15 forwards, 6 defencemen and 2 goalies. A starting line-up consists of...

A hockey team has 15 forwards, 6 defencemen and 2 goalies. A starting line-up consists of 3 forwards, 2 defencemen and 1 goalie.

For the championship game 3 forwards and 1 defencemen cannot play due to injury. Fortunately the defensemen can also play the forward position. How many starting line-ups can be made under this scenario? Use combinations to explain and show the steps.

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