(Solved): One hundred tickets, numbered 1, 2, 3, ..., 100, are sold to 100 different people for a drawing. Fo ...

One hundred tickets, numbered 1, 2, 3, ..., 100, are sold to 100 different people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti). How many ways are there to award the prizes if it satisfies the given conditions. The grand prize winner is a person holding ticket $19,47,73$, or 97. Numeric Response