Permutations, Combinations and Counting

₇P₂

• 0
• 7
• 42
• 210

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

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

• 12

• 60

• 15

• 125

Choosing 3 toppings for your sundae out of a list of 15.

• Permutation
• Combination
• Neither

In how many ways can 3 different vases be arranged on a tray?
 

• 3
• 9
• 6
• 12

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

• 462
• 55440
• 55
• 1000

Erik gets to choose from five cake flavors, seven icing flavors, and three topping flavors. If he can only choose one of each flavor,  how many cakes are possible?

• 35
• 573
• 21
• 105

Tags

CCSS.6.EE.B.6

Two number cubes are rolled, then a spinner with 4 different colors on it is spun twice, then two coins are flipped. How many total possible outcomes are there?

• 4096

• 24

• 46,656

• 2,304

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