Permutations and Combinations Worksheet

What is the value of 15C3?

• 455

• 105

• 120

• 210

What is the result of 100P4?

• 94,109,400

• 100,000,000

• 97,000,000

• 99,999,999

What is the result of 4P4?

• 24

• 12

• 16

• 48

How many different ways can 3 students be chosen from a group of 8 to form a committee?

• 512

• 56

• 336

• 24

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

A license plate has 6 characters, each one filled with a number (0-9) or a letter. How many license plates are possible?

• 36
• 2176782336
• 60
• 1402410240

The Nebraska license plate for Sarpy, Douglas and Lancaster counties have 6 characters, 3 letters followed by 3 numbers (0-9). How many license plates are possible?

• 36
• 17576000

• 2176782336

• 1402410240

Max’s cell phone uses a three-digit pin to unlock it. How many different possible ways can he make a pin number using the digits 0-9?

• 90
• 729
• 27
• 1000

How many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?

• 90
• 100
• 12
• 24

Permutation, combination, or neither?
Rob and Mary are planning trips to 9 countries this year.  There are 13 countries they would like to visit.  They are deciding which countries to skip.

• combination
• permutation
• neither

Tags

CCSS.HSS.CP.B.9