Stupid scoutmaster!

Number Theory Level pending

A scoutmaster of a boy scout troop needs help for an activity. There are 20 scouts in the troop, and the scoutmaster only wants scouts to help. He needs 5 people for helping out the younger scouts and two groups of 3 scouts to help the elderly. In how many ways can the scoutmaster choose boys for these jobs?


The answer is 775975200.

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