IntMathIV- Factorials, Combinations, Permutations

Which is a factorial?

• 3!
• 3a
• 3?
• 3*

10! ÷ 9!

• 900
• 1
• 9
• 10

What is the answer?

• 20

• 40

• 2!

• 3!

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

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

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

• 272
• 4080
• 680

7! × 5!

• 25,842
• 604,800
• 1,426,798
• 2

An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream.  A customer gets to choose a cone and a type of ice cream.  How many different 1-scoop ice cream cones can a customer order? 

• 26,974

• 4495

• 3
• 93

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

• 15
• 40
• 80
• 10