Which of the problems below could not be answered by using a factorial?
a. the number of ways 20 people can finish in the first three places in a race.
b. how many different kinds of pizzas can be made with 12 optional toppings.
c. how many ways 15 people can arrange themselves in a straight line.
d. how many ways the top 20 hit songs can be arranged from a selection of 500 current single.

Acomputer store bought a program at a cost of $10 and sold it for $13. find the percent markup

The numbers on a football field indicate 10 yard increments. you walk around the perimeter of a football field between the pylons. you walk a distance of 30623 yards. find the area and perimeter of the indicated regions. write your answers as mixed numbers, if necessary. a. one end zone: perimeter: yd area: yd2 b. the playing field (not including end zones): perimeter: yd area: yd2 c. the playing field (including end zones): perimeter: yd area: yd2

Will give a: 122 b: 90 c: 48 d: 180