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Thirty tickets, numbered 1,2, 3,..., 30, are sold to 30 different people for a drawing. Four different prizes are awarded, including a grand prize. How
Thirty tickets, numbered 1,2, 3,..., 30, are sold to 30 different people for a drawing. Four different prizes are awarded, including a grand prize. How many ways are there to award the prizes if
- the person holding ticket 27 wins one of the prizes?
- the people holding tickets 19 and 23 both win prizes?
- the people holding tickets 5, 19, 23, and 29 all win prizes?
- none of the people holding tickets 5, 19, 23, and 29 wins a prize?
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