Data Analysis, Statistics & Probability — Quiz 6

Questions in this quiz (10)

1. Marcus has five different chores to finish today: vacuuming, washing dishes, taking out the trash, mowing the lawn, and cleaning his room. He will complete all five chores, but he can do them in any order. How many different orders can Marcus complete the chores?

   • $$25$$
   • $$60$$
   • $$120$$
   • $$240$$

2. Eight runners are competing in a race. Medals will be awarded for first place, second place, and third place. How many different ways can the three medals be awarded?

   • $$56$$
   • $$120$$
   • $$126$$
   • $$336$$

3. Emily has seven books to read over the summer, but she only has time to read five of them. She also wants to decide the order in which she will read the books. How many different reading schedules are possible?

   • $$120$$
   • $$210$$
   • $$840$$
   • $$2{,}520$$

4. A florist wants to arrange four different types of flowers in a row for a display. Each arrangement must use all four flower types exactly once. How many different arrangements are possible?

   • $$12$$
   • $$24$$
   • $$38$$
   • $$48$$

5. Twelve students audition for the school play. The director must assign four different speaking roles. How many different ways can the four roles be assigned?

   • $$495$$
   • $$1{,}188$$
   • $$11{,}880$$
   • $$20{,}736$$

6. A security code consists of three parts. The first part is one of 26 letters, the second part is one digit from 0 to 9, and the third part is one of 26 letters. How many different security codes are possible?

   • $$260$$
   • $$676$$
   • $$760$$
   • $$6{,}760$$

7. A game designer is creating a character who will have 2 abilities selected from 6 different abilities. How many different combinations of abilities are possible?

   • $$12$$
   • $$15$$
   • $$30$$
   • $$36$$

8. A pizza shop allows customers to choose one crust, one sauce, one cheese, and one topping. There are 3 crusts, 4 sauces, 2 cheeses, and 5 toppings. How many different pizzas can be made?

   • $$60$$
   • $$90$$
   • $$120$$
   • $$150$$

9. A travel agency offers vacation packages that include one airline, one hotel, and one rental car company. There are 4 airlines, 5 hotels, and 3 rental car companies. How many different vacation packages are possible?

   • $$40$$
   • $$50$$
   • $$55$$
   • $$60$$

10. A doctor can prescribe one of 6 medications, one of 4 therapy programs, and one of 5 dietary plans. How many different treatment plans are possible?

    • $$80$$
    • $$90$$
    • $$100$$
    • $$120$$