Permutations and Combinations 1

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

• 90
• 100
• 12
• 24

Tags

CCSS.HSS.CP.B.9

Robin has five different pairs of shoes that match with 6 different pairs of socks.  How many shoes-and-socks combinations can she make if she selects one pair of shoes and one pair of socks?

• 1
• 30
• 5!
• 6!

Tags

CCSS.HSS.CP.B.9

An election ballot asks voters to select three city commissioners from a group of six candidates.  In how many ways can this be done?

• 6!
• 120
• 20
• 3!

Tags

CCSS.HSS.CP.B.9

The ski club with ten members is to choose three officers for captain, co-captain and secretary.  How many ways can those offices be filled?

• 720
• 120
• 10!

Tags

CCSS.HSS.CP.B.9

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?

• 16

• 8

• 64

• 512

Tags

CCSS.HSS.CP.B.9

An internet code consists of one digit followed by one letter,  The number zero and letter O are excluded.  How many codes are possible?

• 35
• 260
• 225

Tags

CCSS.HSS.CP.B.9

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

• combination
• permutation
• neither

Tags

CCSS.HSS.CP.B.9

Picking a team of three people out of a group of 10.

• Permutation
• Combination
• Neither

There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?

• 324
• 4896
• 816
• 54

Tags

CCSS.HSS.CP.B.9

What is the value of 8!

• 40320
• 36
• 362880
• 5040