Combinatorics Practice

In Cornville, bicycle license plates have 2 letters followed by a 1-digit number. How many different license plates are possible if letters and numbers can be repeated?

• 6760

• 62

• 2600

• 6084

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. How many different pizzas do you have to choose from?

• 32
• 192
• 40,320
• 51,200

The student body of 70 students wants to elect a president and vice president.  

• 1207
• 19320
• 4830
• 3425

A test has 4 multiple choice questions with 5 answer choices and 6 true/false questions. How many different choices for answering the 10 questions are possible?

• 36,864

• 40,000

• 65,536

• 689

There are 20 games to choose from at the local game store.

How many different sets of 4 games could you choose to rent?

• ₂₀P₄ = 116280

• ₂₀C₄ = 4845

• 16! = 20922789888000

A restaurant's menu offers 8 different sandwiches and 5 side dishes. How many lunch menu combinations can you order?

• ₈P₅ = 6720

• ₈C₅ = 56

• 3! = 6

• 8 ⋅ 5 = 40

Permutation, combination, or neither?
A team of 8 basketball players need to choose a co-captain and captain.

• combination
• permutation
• neither

Permutation, combination, or neither?
The batting order for seven players on a 12 person team.

• combination
• permutation
• neither

Permutation, combination, or neither?
There are 45 applicants for three Computer Programmer job positions.

• combination
• permutation
• neither

Find the number of permutations in the word Isabelle?

• 15

• 20210

• 1090

• 10080

• 720