fundamental counting principle

A stock can go up, go down, or stay unchanged. How many possibilities are there if you own five stocks?

In how many ways can you choose a four digit PIN number for your debit card?

A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?

• 30

• 17

• 90

• 270

Find the number of possible outcomes.

When the spacebar is pressed, a computer program outputs a random even number greater than 2 and less than 12. You press the button once.

• 10

• 11

• 5

• 4

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

DNA molecules include the base units adenine, thymine, cytosine, and guanine (A, T, C, and G). The sequence of base units along a strand of DNA encodes genetic information. In how many different sequences can A, T, C, and G be arranged along a short strand of DNA that has only 6 base units?

• 48

• 572

• 4,096

• 65,536

Find the number of possible outcomes in the sample space.

You flip a coin five times and then roll a six-sided die.

• 36

• 30

• 192

• 205

John has 10 shirts and 3 pairs of pants. How many outfits does he have to choose from, if each outfit consists of one shirt and one pair of pants?

• 30

• 13

• 1,000

• 59,049

From a standard deck of cards, how many ways can you pick an ace, a heart, and then a spade?

Provided you put the cards back into the deck.

• 52

• 208

• 169

• 676

How many ways can 9 runners medal (Gold, Silver or Bronze) in a race?

• 27
• 84
• 216
• 504