Counting Principle, Permutations and Combinations

A baseball fan has a pair of tickets to 6 different home games of the San Diego Padres. If the fan has five friends who like baseball, how many ways may he take one along to each of the six games?

• 30

• 15,625

• 720

• 120

Evaluate ₁₀P₃

• 3,628,800

• 5,040

• 720

• 120

Evaluate ₅P₅

• 120

• 60

• 5

• 1

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

How many unique ways can you flip a coin, roll a die, and spin a five-sectioned spinner?

• 3

• 13

• 30

• 60

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 SPARTANS?

• 5,040

• 10,080

• 40,320

• 80,640

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

• 6

• 60

• 72

• 720

• 2

• 24

• 1,680

• 40,320

Evaluate ₁₂C₄

• 479,001,600

• 40,320

• 11,880

• 495