Fundamental Counting Principle and Statistics

Multiple Choice

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15
• 40
• 80
• 10

Multiple Choice

At  a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

• 180
• 23
• 12
• 60

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

Fundamental Counting Principle - Statistics

​How is it used

If there are multiple decisions that need to be made companies use the fundamental counting principle , but if there is one large group they would use a combination.

- Quora

They use the fundamental counting princple to place in categories.​

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Counting Principle

What if order matters?

Multiple Choice

Evaluate $$4!$$  

• $$12$$  

• $$36$$  

• $$24$$  

• $$10$$  

Multiple Choice

Evaluate

• $$336$$

• $$56$$

• $$2$$

• $$720$$

Multiple Choice

Evaluate

• $$3603600$$

• $$3003$$

• $$32760$$

• $$720$$

Multiple Choice

Evaluate

• $$720$$

• $$56$$

• $$72$$

• $$152$$

Multiple Choice

Evaluate

• $$420$$

• $$840$$

• $$410$$

• $$152$$

Multiple Choice

There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?

• 324

• 4,896

• 816

• 54

Poll

I feel comfortable with the basic Fundamental Counting Principle

Poll

I feel comfortable with using the combination and permutation formula.