Seventy-five (75) customers at Crummy Burger today were entered in a drawing. Three names will be drawn, and each will win a pri
ze. Determine the number of ways that the prizes can be distributed if first prize is a $25 gift card, second prize is a free Crummy Combo Meal, and third prize is a free Jumbo Crummy Burger.
3 people are to be selected from 75 people. This could be done using the combination function, . But thus function only gives the number of ways of choosing any 3 out of the 75 customers. For any single selection of any 3 customers, there are 3! ways of sharing the three prizes among them. Hence the total number of ways of sharing the prizes is
In fact, this is the permutation function given by