There are 50 runners in a race. How many ways can the runners finish first, second, and third?

Number of ways can the runners finish first, second, and third is 1,17,600 .

Step-by-step explanation:

Permutation is the act of arranging the members of a set into a sequence or order, or, if the set is already ordered, rearranging (reordering) its elements—a process called permuting. For example, written as tuples, there are six permutations of the set {1,2,3}, namely: (1,2,3), (1,3,2), (2,1,3), (2,3,1), (3,1,2), and (3,2,1). Formula of Permutation is : where n is the number of things to choose from,  and we choose r of them,  no repetitions,  order matters. Here , n = 50 , r= 3

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∴ Number of ways can the runners finish first, second, and third is 1,17,600 .

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