Counting Problems REVIEW

A dessert is made by choosing from a type of ice cream (chocolate, vanilla, or strawberry),

a topping (sprinkles, gummies, nuts, bananas), and a sauce (caramel, hot fudge).

How many different sundaes can be made?

• 24

• 9

• 81

• 12

A four-unit passcode is created by choosing two digits and then two letters. How many unique passcodes exist if no number or letter can be repeated?

• 16

• 10,000

• 58,500

• 67,600

How many unique "words" can be made from all the letters in TURKEY?

• 6

• 60

• 72

• 720

Evaluate 6!

• 21

• 30

• 120
  

• 720

• 2

• 24

• 1,680

• 40,320

Evaluate ₁₀P₃

• 3,628,800

• 5,040

• 720

• 120

Evaluate ₁₂C₄

• 479,001,600

• 40,320

• 11,880

• 495

Four names will chosen randomly from a list of twenty entries to be in a group that travels to Europe. How many unique possibilities are there?

• 80

• 4,845

• 116,280

• 160,000

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15
• 40
• 80
• 10

At  a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

• 180
• 23
• 12
• 60