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Question

Twelve students complete in a race. In how many ways first three prizes be given?

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Solution

Number of competitors in the race = 12
Number of competitors who can come first in the race = 12
Number of competitors who can come second in the race = 11 (as one competitor has already come first in the race)
Number of competitors who can come third in the race = 10
∴ Total number of ways of awarding the first three prizes = 12×11×10 = 1320

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