Permutations and Combinations Probability

At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. How many different pizzas do you have to choose from?

• 32
• 192
• 40,320
• 51,200

How many 5-digit (numerical) passwords are possible for the school email system if the first digit cannot be 0 and repetition is NOT allowed.

• 11,424,400

• 10,967,424

• 27,216

• 90,000

Michael is going to order his wife a bouquet for their anniversary. If Michael can choose 5 different flowers from a list of 8, how many bouquets are possible?

• 56

• 6,720

• 40

• 40,320

There are 17 students in Schnaper's 2nd hour class. How many different seating charts are possible?

• 1

• 17

• 4,080

• 3.6 x 10¹⁴

A coed soccer team is made up of 12 boys and 8 girls. How many groups of 11 players can be sent to the field if 6 boys and 5 girls are selected?

• 167,960

• 96

• 4,470,681,600

• 51,744

If a club consists of 10 members, how many different arrangements of president, vice president, and secretary are possible?

• 120

• 720

• 30

• 13

An identification code is to consist of 3 uppercase letters followed by 4 digits. How many different codes are possible if repetition is not permitted?

• 78,624,000

• 175,760,000

• 10,000

• 12

Five different colored flags will be placed on a pole, one beneath another. The arrangement of the colors indicates the message. How many messages are possible if five flags are to be selected from nine different colored flags?

• 45

• 15,120

• 126

• 59,049

An ice-cream parlor has 20 different flavors. Cynthia orders a banana split and has to select 3 different flavors. How many different selections are possible?

• 60

• 6,840

• 23

• 1140

Rebecca is sent to the store to get 5 different bottles of regular soda and 3 different bottles of diet soda. If there are 10 different types of regular sodas and 7 different types of diet sodas to choose from, how many different choices does Rebecca have?

• 8,820

• 35

• 151,200

• 287