Combinations and Permutations

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

₂₀P₂

• 20
• 380
• 6840
• 116280

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

Choosing 3 toppings for your sundae out of a list of 15.

• Permutation
• Combination
• Neither

Tags

CCSS.HSS.CP.B.9

Determine whether the following scenarios are a permutation or a combination:
 
Selecting a lead and an understudy for a school play.

• Combination
• Permutation

Tags

CCSS.HSS.CP.B.9

7!

• 4050
• 5400
• 5040
• 4500

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

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

• combination
• permutation
• neither

Tags

CCSS.HSS.CP.B.9

₇P₂

• 0
• 7
• 42
• 210

Tags

CCSS.HSS.CP.B.9

₁₂P₄

• 24
• 132
• 1320
• 11880

Tags

CCSS.HSS.CP.B.9