Fundamental Counting Principle, Permutations & Combinations

Fundamental Counting Principle, Permutations & Combinations

Poll

In the cafeteria, a lunch combo consists of a sandwich, side and dessert. How many different ways do YOU THINK you can choose a lunch combo?

• $$10$$  

• $$16$$  

• $$12$$  

• $$24$$  

• $$48$$  

Objective(s) & Standard

• Use the Fundamental Counting Principle to determine outcomes

• Count Permutations

• Count Combinations

•  MAFS.912.S-CP.2.9 - Use permutations and combinations to compute probabilities of compound events and solve problems.

Multiple Choice

To create an entry code for a push-button door lock, you need to choose a letter and then, three single-digit numbers. How many different entry codes can you create?

• $26,000$

• $56$

• $260$

• $1026$

Calculator Check

Multiple Choice

Evaluate $4!$  

•  $12$  

•  $36$  

•  $24$  

•  $10$  

Multiple Choice

Evaluate $5!3!$  

•  $40320$  

•  $720$  

•  $336$  

•  $1680$  

Multiple Choice

Evaluate $\frac{12!}{6!}$  

•  $2$  

•  $665280$  

•  $720$  

•  $12560$  

Multiple Choice

Evaluate $\frac{10!}{7!3!}$  

•  $526$  

•  $720$  

•  $120$  

•  $126$  

Multiple Choice

Evaluate

• $720$

• $56$

• $72$

• $152$

Multiple Choice

Evaluate

•  $420$ 

•  $840$ 

•  $410$ 

• $152$

Multiple Choice

Evaluate

• $336$

• $56$

• $2$

• $720$

Multiple Choice

Evaluate

•  $3603600$ 

•  $3003$ 

•  $32760$ 

• $720$

Multiple Choice

Determine if the situation is a permutation or combination, and evaluate.

• Combination
  
  $720$

• Permutation

  
  $720$
  

• Combination

  
  $70$
  

• Permutation

  
  $70$
  

• Permutation
  
  $336$
  

Multiple Choice

In the cafeteria, a lunch combo consists of a sandwich, side and dessert. How many different ways are there for you to choose a lunch combo?

•  $10$  

•  $16$  

•  $12$  

•  $24$  

•  $48$  

Multiple Choice

In the cafeteria, a lunch combo consists of a sandwich, side and dessert. If the combos are pre-packaged, what is the probability of choosing a combo with Potatoes?

•  $\frac{1}{48}$  

•  $\frac{1}{6}$   

•  $\frac{1}{4}$   

•  $\frac{1}{3}$  

Multiple Choice

In the cafeteria, a lunch combo consists of a sandwich, side and dessert. If the combos are pre-packaged, what is the probability of choosing a combo that doesn't have PB&J or a Banana?

•  $\frac{9}{16}$   

•  $\frac{6}{13}$    

•  $\frac{2}{3}$    

•  $\frac{1}{3}$