There are 12 finalists in a singing competition. The top six singers receive prizes. How many...

Question

Question

There are 12 finalists in a singing competition. The top six singers receive prizes. How many ways can the singers finish first through sixth?

Answer 1

Answer #1

The solution is related with the concept of permutation, there are 6 prizes and 12 finalists.

Here order of prize, first, second, third, fourth, fifth and sixth is important.

So total number of ways singers can finish is

¹²P6 = (12!)/(6!) = 665280 ways.

Hence there can be 665280 ways in which singers can finish sixth.

Answer 2

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