Probability with Permutations & Combinations

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

• Permutation
• Combination

Tags

CCSS.HSS.CP.B.9

Picking a President, Vice-President, and Secretary from a group of 12. (a)  

• Permutation
• Combination

Tags

CCSS.HSS.CP.B.9

Which of the following is equivalent to

8!

• 8

• 64

• 8*7*6*5*4*3*2*1

• 40320

• 8P1

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.3

Calculate:

₁₂P₄

• 24

• 132

• 1320

• 11880

Tags

CCSS.HSS.CP.B.9

Rylan’s basketball team has 11 players. How many ways can his coach choose five starting players (order is not relevant)?

Mathematical Equivalence

ON

Tags

CCSS.HSS.CP.B.9

There are 12 kinds of Girl Scout cookies for sale. How many ways can Rachel choose three different kinds to buy?

• 220
• 36
• 1320
• 100

Tags

CCSS.HSS.CP.B.9

There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?

Mathematical Equivalence

ON

Tags

CCSS.HSS.CP.B.9

There are 10 students in a class: 5 boys and 5 girls.

If the teacher picks a group of 3 at random:

a) How many groups of 3 girls are possible?​ (a)  

b) How many total groups of 3 are possible?​ (b)  

c) what is the probability that everyone in the group is a girl?

(c)   ​

• 10
• 120
• 8%
• 60
• 720
• 50%

Tags

CCSS.HSS.CP.B.9

There are 19 students in a class, the teacher is making groups of 3. What is the probability that Alex, Connor, and Meredith all end up in the same group?

• 969

Tags

CCSS.HSS.CP.B.9

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

• 15
• 40
• 80
• 10