Permutations and Combinations

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

What does ₁₀P₅ mean?

• Permutations with 5 choices and 10 positions
• Permutations with 10 choices and 5 positions
• Permutations with 5 numbers and 10 operations
• Permutations with 5 hot dogs and 10 drinks

Tags

CCSS.HSS.CP.B.9

₂₀P₂

• 20
• 380
• 6840
• 116280

Tags

CCSS.HSS.CP.B.9

7!

• 4050
• 5400
• 5040
• 4500

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.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

Find the number of words, with or without meaning, that can be formed with the letters of the word ‘CHAIR’.

• 5

• 3125

• 120

• 25

Tags

CCSS.HSS.CP.B.9

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

• 12

• 60

• 15

• 125

Tags

CCSS.HSS.CP.B.9

At the middle school, a student takes 4 core classes a day.  There are 6 different core classes offered.  How many different combinations of classes are there?

• 24
• 15
• 720
• 360

Tags

CCSS.HSS.CP.B.9