Customers at beans coffee shop have entered their name in a drawing for one of 4 gift cards. the gift cards each have a value of $10. if 79 customers enter the drawing, what is the total number of ways beans coffee shop could choose the winners?

36,060,024 ways

Step-by-step explanation:

To choose the winner in this case, the order is very important because it determines who is chosen first  out of the seventy-nine customers whose names were entered for the draw.

The above supports the reason Permutation will be used instead of Combination.

The total number of ways is given by:

⁷⁹P₄ = 79!/(79-4)!

       =  79!/75!

       = [79 x 78 x 77 x 76 x75!]/75!

       = 79 x 78 x 77 x 76

       =   36,060,024 ways

This implies that there are  36,060,024 ways the Bean Coffee Shop could choose the winners.