Quiz on the topic Permutations and Combinations - 2O - May 19

What is the solution?

• 5040

• 289

• 210

• 35

A team of 15 basketball players need to choose a Captain & a Co-captain. How many ways can that selection be made?

• 5140

• 280

• 210

• 35

7!

• 4050
• 5400
• 5040
• 4500

₂₀P₂

• 20
• 380
• 6840
• 116280

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

At the middle school, a student takes 4 core classes a day.  There are 6 different core classes offered.  How many different combinations of classes are there?

• 24
• 15
• 720
• 360

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

• 15
• 40
• 80
• 10

At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. Each pizza can only have 1 meat, 1 cheese, 1 crust, and 1 sauce. How many different pizzas do you have to choose from?

• 32

• 192

• 40,320

• 51,200

How many ways can two jellybeans be chosen from a bag of 15 unique jellybeans. 

• ₁₅C₂=105
• ₁₅P₂=210
• 15 x 2 = 30
• 100 ways

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

• 6!

• 120

• 20

• 3!