FUNDAMENTAL COUNTING PRINCIPLE

Suppose you roll a 6 -sided die and draw a card from a deck of 52 cards. How many possible outcomes are there?

• 58

• 213

• 312

• 85

Your school offers two English classes, three math classes and three history classes. You want to take one of each class. How many different ways are there to organize your schedule?

• 8

• 18

• 24

• 36

A wedding caterer gives you three choices for the main course, six starter choices and five options for dessert. How many different meals (made up of starter, dinner and dessert) are there?

• 13

• 30

• 90

• 18

How many possible 4-letter words with or without meaning can be formed from the letters E to X if H, J and R are excluded?

• 50 120

• 52 710

• 51 720

• 57 120

In how many ways can Layla, Miya, Angela, Nana, Esmeralda and Carmilla be chosen as a date for Bruno, Roger, Claude and Harley?

• 24

• 48

• 120

• 360

There are 20 heroes on my account. If I will play classic matches and a hero can be used more than once, how many possible choices can I make?

• 3 200 000

• 320 000

• 32 000

• 3 200

How many ways can Ejay arrange seven trophies in his cabinet?

• 4 050

• 5 400

• 4 500

• 5 040

64 contestants are in the Miss Universe Pageant. How many ways can the top 5 be selected?

• 914 914 440

• 914 941 400

• 914 941 440

• 914 914 400

A four digit code is needed for a security of a phone. If zero is not to be included, and no number can be repeated, how many possible codes are possible?

• 3 024

• 3 204

• 3 420

• 3 042

What fundamental operation on numbers is applied in solving problems on fundamental counting principles?

• Addition

• Subtraction

• Multiplication

• Division