Permutations and Combinations

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

• 15
• 40
• 80
• 10

Tags

CCSS.HSS.CP.B.9

There are 6 roads from Ponder to Justin, 2 roads from Justin to Halslet, and 3 roads from Haslet to Saginaw.  How many possible routes are there from Ponder to Saginaw using only these roads and no backtracking? 

• 12
• 11
• 18
• 36

Tags

CCSS.8.EE.C.7B

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

• combination
• permutation
• neither

Permutation, combination, or neither?
Choosing 4 books out of a stack of 10 to read during the summer.

• 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

A group of 15 people are going to run a race.  The top 5 finishers advance to the finals. How many possible groups of five can there be?

• 1.3 x 10¹²
• 120
• 3003
• 360,360

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

• 90
• 100
• 12
• 24

Six friends are going to play a game. Each team has 3 players.  How many different team combinations are possible?

• 120
• 6
• 18
• 20

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

• 462
• 55440
• 55
• 1000

Tags

CCSS.HSS.CP.B.9

Members of 6 different school organizations decorated floats for the homecoming parade.  How many different ways can first, second, and third prize be awarded?

• 18
• 120
• 36