Permutations and Combinations Practice

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

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

• combination
• permutation
• neither

Tags

CCSS.HSS.CP.B.9

Permutation, combination, or neither?
There are 45 applicants for three Computer Programmer job positions.

• combination
• permutation
• neither

Tags

CCSS.HSS.CP.B.9

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

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

Tags

CCSS.HSS.CP.B.9

How many ways can you choose a manager and assistant from a 9-person task force?

• 81
• 18
• 72

Tags

CCSS.HSS.CP.B.9

Find the number of possibilities:
A group of 25 people are going to run a race.  The top 8 finishers advance to finals.

• 625
• 4.36 X 10¹⁰
• 1,081,575

Tags

CCSS.HSS.CP.B.9

How many ways can two jellybeans be chosen from a bag of 15 unique jellybeans. 

• ₁₅C₂=105
• ₁₅P₂=210
• 15 x 2 = 30
• 100 ways

Tags

CCSS.HSS.CP.B.9

When three-digit telephone area codes were first put in place, the first number could be any digit (2-9), the second number could only be 0 or 1, and the third could be any digit (0-9). How many possible area codes can be created with this format?

• 24

• 126

• 140

• 160

Tags

CCSS.HSS.CP.B.9

A combination lock has 7 digits.  How many distinct combinations does this lock have if the numbers used have to be 0 through 5?

• 279936
• 78125
• 823543
• 16807

Tags

CCSS.HSF.BF.A.2