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Problem: There are three different prizes that will be distributed randomly. There are thirty people, which includes Martin and Jose, will be participated in this ceremony. We assume that the same person cannot obtain more than one prize.
Required:
Question 1: How many different ways are there to distribute the prize?
Question 2: What is the probability if Martin obtains more than one prize?
Question 3: What is the probability if Jose doesn't obtain any prize?
Question 4: How many different ways are there if the prize are all the same?
Question 5: What is the probability if Martin obtains more than one prize supposing that the prizes are all the same?
Question 6: What is the probability if Jose doesn't obtain any prize supposing that the prizes are all the same?
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