In a class of 33 pupils, there were 3 girls who were in the school quiz team and 14 boys who were not in the school quiz team. (
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Answer:
<h2>There are 3,921,225 ways to select the winners.</h2>Step-by-step explanation:
This problem is about combinations with no repetitions, because the same person can't win four times. It's a combinaction because the order of winning doesn't really matter.
Combinations without repetitions are defined as
Where and
.
Replacing values, we have
Therefore, there are 3,921,225 ways to select the winners.
Additionally, as you can imagine, the probability of winning is extremely low, it would be 3,921,225 to 1.