Permutations and Combinations Check for Understanding

Decide whether you'd solve using a Permutation, Combination, or simply need a single factorial, then match the cards accordingly.

• Ribbons are being awarded for 1st through 5th place to the top 5 dogs in a dog show.

• Factorial

• A lock has a code of 3 numbers between 1 and 15. How many codes can be created if no numbers repeat

• Combination

• The principal would like to assemble a committee of 8 students from the 12-member student council.

• Permutation

How would you solve?

From the 20 DVD's you purchased this past year, you plan to take five with you on vacation. How many different sets of five DVD's can you take?

• Permutation

• Counting Principles

• Factorial

• Combination

How would you solve?

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

• Permutation

• Counting Principles

• Factorial

• Combination

How would you solve?

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?

• Permutation

• Counting Principles

• Factorial

• Combination

How would you solve?

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

• Permutation

• Counting Principles

• Factorial

• Combination

How would you solve?

Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choose three?

• Permutation

• Counting Principles

• Factorial

• Combination

Permutation, combination, or neither?
Rob and Mary are planning trips to 9 countries this year.  There are 13 countries they would like to visit.  They are deciding which countries to skip.

• combination
• permutation
• neither

Permutation, combination, or neither?
A team of 8 basketball players need to choose a co-captain and captain.

• combination
• permutation
• neither

When does the order in which you are choose matter?

• Combination
• Permutation

Determine whether the following scenarios are a permutation or a combination:
 
Selecting a lead and an understudy for a school play.

• Combination
• Permutation