The Counting Principal, Permutations, and Combinations

Identify the type of situation presented below:

Suppose that 7 people enter a swim meet. Assuming that there are no ties, in how many ways could the gold, silver, and bronze medals be awarded?

• Fundamental Counting Principle

• Permutation

• Combination

Suppose that 7 people enter a swim meet. Assuming that there are no ties, in how many ways could the gold, silver, and bronze medals be awarded?

Mathematical Equivalence

OFF

Identify the type of situation presented below:

A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many possible combinations of pizza with one topping are there?

• Fundamental Counting Principle

• Permutation

• Combination

A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many possible combinations of pizza with one topping are there?

Mathematical Equivalence

OFF

Identify the type of situation presented below:

How many different committees of 3 people can be chosen to work on a special project from a group of 9 people?

• Fundamental Counting Principle

• Permutation

• Combination

How many different committees of 3 people can be chosen to work on a special project from a group of 9 people?

Mathematical Equivalence

OFF

Identify the type of situation presented below:

A coach must choose how to line up his five starters from a team of 12 players.  How many different ways can the coach choose the starters?

• Fundamental Counting Principle

• Permutation

• Combination

A coach must choose how to line up his five starters from a team of 12 players.  How many different ways can the coach choose the starters?

Mathematical Equivalence

OFF

Identify the type of situation presented below:

John bought a machine to make fresh juice. He has the following fruits: strawberries, oranges, apples, pineapples, and lemons. If he only uses two fruits, how many different juice drinks can John make?

• Fundamental Counting Principle

• Permutation

• Combination

John bought a machine to make fresh juice. He has the following fruits: strawberries, oranges, apples, pineapples, and lemons. If he only uses two fruits, how many different juice drinks can John make?

Mathematical Equivalence

OFF