3.4 Counting Principles Practice

In a race in which six automobiles are entered and there are no ties, in how many orders can the first four finishers come in?

Is this a PERMUTATION or a COMBINATION?

• Permutation

• Combination

In a race in which six automobiles are entered and there are no ties, in how many orders can the first four finishers come in? n = ​ (a)   ​ , r = ​ (b)  

• 6
• 4
• 16
• 10
• 2
• 24

In a race in which six automobiles are entered and there are no ties, in how many orders can the first four finishers come in?

A book club offers a choice of 8 books from a list of 40 books for a set price. How many book collections can a member make?

Is this a PERMUTATION or a COMBINATION?

• Permutation

• Combination

A book club offers a choice of 8 books from a list of 40 books for a set price. How many book collections can a member make? n = ​ ​ (a)   ​ , r = ​ ​ (b)  

• 16
• 48
• 5
• 32
• 40
• 8

A book club offers a choice of 8 books from a list of 40 books for a set price. How many book collections can a member make?

From a club of 20 people, in how many ways can a group of three members be selected?

Is this a PERMUTATION or a COMBINATION?

• Permutation

• Combination

From a club of 20 people, in how many ways can a group of three members be selected?

A corporation has ten members on its board of directors. In how many ways can it elect a president, vice-president, secretary, and treasurer?

Is this a PERMUTATION or a COMBINATION?

• Permutation

• Combination

A corporation has ten members on its board of directors. In how many ways can it elect a president, vice-president, secretary, and treasurer?