Combinations and Probability

There are six nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin. Both times the coin is a nickel.

• 2/7

• 6/13

• 5/16

• 3/19

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

• 15

• 40

• 80

• 10

Heather must choose a PIN code for her ATM card.  The pin is a 4 digit code.  How many possible PIN numbers are there?

• 10,000

• More than 1 million

• 4

• None of these

Choosing 3 toppings for your sundae out of a list of 15.

• Permutation

• Combination

The starting lineup on a basketball team consists of a point guard, shooting guard, small forward, power forward and center. Assuming everyone on the team is capable of playing at each position, how many different starting lineups can be created from a 12-man roster?

• 3391680

• 132

• 11880

• 95040

There are 12 kinds of Girl Scout cookies for sale. How many ways can Rachel choose three different kinds to buy?

• 220

• 36

• 1320

• 100

There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?

• 324

• 4896

• 816

• 54

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

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

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

• 120

• 720

• 30

• 13