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How many ways can four finalist be selected from 50 contestants?
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Does it matter in what order a particular finalist is selected? Is being selected first just as good as being the last selected finalist?
the order does not matter
Each of the four selected has the same status, that is each is a finalist. Therefore the order of selection does not matter. So we need to find how many combinations of four finalists can be selected from 50 contestants. Number of ways = 50C4 \[50C4=\frac{50!}{4!(50-4)!}\]
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