Permutations and Combinations

Permutations and Combinations

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Multiple Select

Determine whether the question would be a permutation or combination: Five students from 90 will be selected to count ballots for the Class President election. How many groups of 5 students could be selected to count ballots?

• Permutation

• Combination

• Neither

Multiple Choice

If all items chosen are treated the same it is a ....

• Comparision
• Permutation
• Combination
• Position

Multiple Choice

If all items chosen are treated differently it is a ...  

• Comparision
• Permutation
• Combination
• Position

Multiple Choice

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

Multiple Choice

The number of dinosaur models that a museum needs to make from 4 types of dinosaurs and 2 colors.

• Permutation
• Combination
• Neither

Multiple Choice

What does ₁₀P₅ mean?

• Permutations with 5 choices and 10 positions
• Permutations with 10 choices and 5 positions
• Permutations with 5 numbers and 10 operations
• Permutations with 5 hot dogs and 10 drinks

Multiple Choice

Is the order of arrangement important?
Find the number of ways to form a team of three players for a game out of a group of 10 individuals.

• Yes
• No

Multiple Choice

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

• Combination
• Permutation

Multiple Choice

In the orchestra, there are eight violinists in the front row. How many different ways can they be seated?

• 40320
• 1
• 64
• 8

Multiple Choice

The ski club with ten members is to choose three officers for captain, co-captain and secretary.  How many ways can those offices be filled?

• 720
• 120
• 10!

Multiple Choice

Eva has eight glasses of water.  In how many different orders can the glasses of water be arranged?

• 8
• 64
• 8!
• 56

Multiple Choice

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

• 90
• 100
• 12
• 24

Multiple Choice

A disc jockey has to choose three songs for the last few minutes of his evening show.  If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?

• 84
• 504
• 9!
• 3!