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[Discrete maths ] Counting
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closed with the note: there was some calculation mistake.Corrected now:)
One hundred tickets numbered from 1 to 100 are sold to 100 different people for a drawing. Four different prizes are to be awarded including the Grand Prize (a trip to Tahiti).

1) How many ways are there to award the prizes?

2) How many ways are there to award the prizes if the person holding ticket #47 wins the Grand Prize?

3) How many ways are there to award the prizes if the person holding ticket #47 wins one of the prizes?

4) How many ways are there to award the prizes if the person holding ticket #47 does not win a prize?

I need to clarification on 4th part.I solved it as (Answer for 1- Answer for 3) but it doesn't give the right answer.What did i miss?
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