Permutations and Combination Quiz

Determine permutation or combination, then answer the question. You are ordering a 2-topping pizza and can select the toppings from eight options. In how many different ways are there to order the pizza?

Write your answer as a number. Ex: 5040

How many ways can you arrange 2 letters from the word
S Q U A R E?

• 30
• 140
• 320
• 45

Student council has 24 members.  In how many different ways can a president, vice-president, treasurer, historian, and secretary be selected?  

• 5,100,480
• 0
• 42,504
• 5.17 x 10²¹

A team of 17 volleyball players needs to choose three players to refill the water cooler.  How many different ways can the players be chosen?  

• 3360
• 560
• 4080
• 680

Your history teacher randomly chooses 2 out of 18 students to give an impromptu debate on freedom of press in the high school news paper.  What is the probability that both you and your best friend are chosen to give the debate?  

• 1/153
• 1/306
• 2/153
• 40/51

When does the order in which you are choose matter?

• Combination
• Permutation

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

• 462
• 55440
• 55
• 1000

₂₀P₂

• 20
• 380
• 6840
• 116280

7!

• 4050
• 5400
• 5040
• 4500

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

• 15
• 40
• 80
• 10