Counting, Factorials, Permutations, Combinations

A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many possible combinations of pizza with one topping are there? 

• 64
• 14
• 24,024
• 2184

What is the value of 8!

• 40320

• 36

• 362880

• 5040

Permutation, combination, or neither?

The number of possibilities if there are 45 applicants for three customer service positions

• combination

• permutation

• neither

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

• combination
• permutation
• neither

Which of the following is an example of combination?

• Form a passcode with 4 digits
• Students line up in a queue to assembly
• Choose 4 students in a class committee
• Choose the chairperson, secretary and treasurer in a club

Find the number of possibilities:

A group of 25 people are going to run a race. The top 8 finishers advance to finals.

• 625

• 4.36 X 10¹⁰

• 1,081,575

Find the number of possibilities:
A team of 17 softball players needs to choose three players to refill the water cooler.

• 272
• 4080
• 680

Find the number of possibilities:

5 out of 13 students will ride in a car instead of a van

• 1,287

• 154,440

• 371,293

• 65

A lock has four dials. On each dial are the digits 0 to 9. How many possible combinations are there?

• 40
• 5040
• 6561
• 10,000

How many ways can you choose a manager and assistant from a 9-person task force?

• 81
• 18
• 72