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.

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation:

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4