Combinations vs Permutations

Describe the Type of Problem:

Ben has to pick 2 kittens from a litter of 4.

• Combination

• Permutation

• Fundamental Counting Principle

Describe the Type of Problem:

In a town election, there are 10 people running for Trustee, Plow-Man, and Landscaper

• Combination

• Permutation

• Fundamental Counting Principle

Describe the Type of Problem:

How many ways can 5 people be arranged in a line?

• Combination

• Permutation

• Fundamental Counting Principle

Describe the Type of Problem:

Jimbo has 5 hats, 6 ties, and 3 watches to choose from when making an outfit.

• Combination

• Permutation

• Fundamental Counting Principle

Describe the Type of Problem:

There are 24 applicants for 2 identical jobs at Taco Bell

• Combination

• Permutation

• Fundamental Counting Principle

Describe the Type of Problem:

You and 2 friends are selecting seats at an event (where the seats are numbered).

• Combination

• Permutation

• Fundamental Counting Principle

Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players?

• 462
• 55440
• 55
• 1000

Sarah plays softball over the summer.  If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?

• 1
• 3628800
• 100
• 1814400

There are 125 juniors at the high school. How many ways can they elect a president, vice president,and secretary?

• 1906500
• 317750
• 375
• 1953125

Determine the number of 4-letter arrangements that can be made using the word RHOMBUS.

• 5040
• 35
• 28
• 840

Tags

CCSS.3.OA.D.8

CCSS.4.OA.A.3

CCSS.7.EE.B.3