Fundamental Counting Principal, Permutations, Combinations

James purchased 3 shirts, 3 jackets and 2 pairs of pants.  How many different outfits using a shirt, a jacket, and pants are possible?

• 8
• 18
• 54

The value of 5! is ____.

• 25
• 15
• 120
• 720

Which of the following would you use to calculate the number of ways to elect a President, a Vice President, and a Secretary from a group of 12 individuals. Think: Does order matter?

• Permutation
• Combination
• Neither

Tags

CCSS.HSS.CP.B.9

What does ₁₀C₅ mean?

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

What is the value of ₅P₂?

• 60
• 10
• 20
• 15

Tags

CCSS.HSS.CP.B.9

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

• 90
• 100
• 12
• 24

Tags

CCSS.HSS.CP.B.9

Which of the following would be used to calculate the number of ways one could choose 3 toppings for a sundae out of a list of 15?

• Permutation
• Combination
• Neither

Tags

CCSS.HSS.CP.B.9

Ambry must submit 4 paintings as part of her application to art school. If she has 25 to choose from, how many ways can she pick 4? Think: Does order matter?

• 12,650
• 303,600
• 100
• 254

Tags

CCSS.HSS.CP.B.9

A team of 17 volleyball players needs to choose three players to refill the water cooler.  How many different ways can the players be chosen?  

• 3360
• 560
• 4080
• 680

Tags

CCSS.HSS.CP.B.9

What is the formula for permutations?

• n!
• ^n!∕_(n-r)!
• ^n!∕_(n-r)! r!
• ^r!∕_{(r-n)! n!}