A contest has 15 finalists One finalist is awarded first pri

A contest has 15 finalists. One finalist is awarded first prize, another finalist is awarded second prize, and another is awarded third prize. How many different ways could the three prizes be awarded? Show work.

Solution

We are given there are 15 finalists

One finalist is awarded first prize, another finalist is awarded second prize, and another is awarded third prize

Number of ways award for first prize =15

since, first prize is declared

so, there will be 14 finalist remained

number of ways of second award =14

since, second prize is declared

so, there will be 13 finalist remained

number of ways of third prize = 13

different ways could the three prizes be awarded=15*14*13

different ways could the three prizes be awarded is 2730 ..............Answer