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unit-7-permutations-and-combinations

Unit-7 Permutations and Combinations

In this unit you will study about the Multiplication principle, permutations, combinations and Binomial Theorem.

Suppose 5 athletes are taking part in a 100 metres race in Olympics. Also, suppose there are no clear favourites for any medal. In how many different ways can the three medals be awarded?





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Learning Pundits Content Team

Written on Apr 23, 2019 12:22:26 PM

Since there are no clear favourites, any of the athletes can win any medal. The Gold medal can go to any of the 5 athletes. The Silver medal can go to any of the 4 remaining athletes. The Bronze medal can go to any of the three remaining athletes. So, the medals can be awarded in 5 × 4 × 3 = 60 ways by the Multiplication principle.