Combinations, Permutations, Factorials

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?

(a)  

• Combination
• Permutation
• Neither

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

• Permutation
• Combination

In the orchestra, there are eight violinists in the front row. How many different ways can they be seated? Because the violinists will be seated from left to right, they will be in order.

Mathematical Equivalence

ON

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

• Permutation
• Combination
• Neither

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

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

• 90
• 100
• 12
• 24

How many ways can you choose a manager and assistant from a 9-person task force?

• 81
• 18
• 72

• 665,280

• 40,320

• 720

• 5,280

An election ballot asks voters to select three city commissioners from a group of six candidates. In how many ways can this be done?

Is this a Permutation or a Combination?

• Permutation - the order matters

• Combination - the order does not matter

How many ways can you line up your eight trophies that you've won over the years on a shelf in your room?

• 6!

• 8!

• 4!

• 8