Probability Jeopardy

Final Jeopardy

CombinationsPermutations

SolveComb or Perm

Solve

Q $100 Q $100 Q $100 Q $100 Q $100

Q $200 Q $200 Q $200 Q $200 Q $200

Q $300 Q $300 Q $300 Q $300 Q $300

Q $400 Q $400 Q $400 Q $400 Q $400

Q $500 Q $500 Q $500 Q $500 Q $500

$100 Question Combinations

Alex has 4 dogs to take to the vet. He can only take 2 at a time. How many

different groups could he take them?

•$100 Answer Combinations

4!/2!/2! = 6•

$200 Question Combinations

Ryan plans to make a snack mix using six of his favorite candies, snacks and nuts. If he has 13 items from which to choose, how many different mixes can he make?

$200 Answer from Combinations

13!/6!/7! = 1,716

$300 Question from Combinations

6C3

$300 Answer from Combinations

6C3 = 6!/3!/3!= 20

$400 Question from Combinations

16C8

$400 Answer from Combinations

16C8 = 16!/8!/8!

= 12,870

$500 Question from Combinations

14C5

$500 Answer from Combinations

14C5 = 14!/5!/9!

= 2,002

$100 Question from Permutations

How many ways can 6 students be arranged in

a line at the door?

$100 Answer from Permutations

6P6 = 6!/0!= 720

$200 Question from Permutations

Calculate 7!

$200 Answer from Permutations

7 • 6 • 5 • 4 • 3 • 2 • 1

= 5,040

$300 Question from Permutations

6 track runners are in the finals. How many ways can

1st, 2nd, and 3rd place be awarded?

$300 Answer from Permutations

6P3 = 6!/3!= 120

$400 Question from Permutations

How many ways can 15 students on student council be

elected President, Vice-President, and

Treasurer?

$400 Answer from Permutations

15P3 = 15!/12!

= 2,730

$500 Question from Permutations

How many different 4-digit lock combinations can you make with the digits 0-5, with no repeating digits?

$500 Answer from Permutations

6P4 = 6!/2!= 360

$100 Question from Solve

14P3

$100 Answer from Solve

14P3 = 14!/11!

= 2,184

$200 Question from Solve

10C4

$200 Answer from Solve

10C4 = 10!/4!/6!

= 210

$300 Question Solve

A family wants to visit three historic sites from a list of twelve. How many ways can they select three places?

$300 Answer from Solve

12C3 = 12!/3!/8!

= 1,980

$400 Question SolveThe senior class has 6 destinations to consider for a class trip. In how many ways can pick the top two destinations?

$400 Answer from Solve

6P2 = 6!/4!

= 30

$500 Question Solve

David has been asked to name his four favorite snacks in order from a list of 32. How many ways could this be done?

$500 Answer from Solve

32P4 = 32!/28!

= 863,040

$100 Question fromComb or Perm

The host of a talk show needs to four guests to participate in a demonstration. If there are 45 guests in the audience, how many ways can he select them?

$100 Answer fromComb or Perm

Combination

$200 Question fromComb or Perm

Michael has been asked to bring some of his CDs to a graduation party. If he has 25 CDs in his collection, how many ways can he select 5 to take with him?

$200 Answer from Comb or Perm

Combination

$300 Question from Comb or Perm

In a baseball regional tournament, the first and second place teams will play for the championship. If 12 teams participate in the tournament, how many possibilities are there for first and second place?

$300 Answer from Comb or Perm

Permutation

$400 Question fromComb or Perm

From a list of ten sports, Kevin must select five in which he would like to participate at summer camp. How many ways can he do this?

$400 Answer fromComb or Perm

Permutation

$500 Question fromComb or Perm

Mary and James plan to visit 6 of their 12 favorite ballparks. How many different ways can they plan their trip?

$500 Answer fromComb or Perm

Combination

$100 Question from Solve

15P5

$100 Answer from Solve

15P5 = 15! = 360,360

10!

$200 Question from Solve

8C5

$200 Answer from Solve

8C5 = 8! = 56

5!3!

$300 Question from Solve

9P4

$300 Answer from Solve

9P4 = 9! = 3,024

5!

$400 Question from Solve

Find the value of 9!

$400 Answer from Solve

9 • 8 • 7 • 6 • 5 • 4 • 3 • 2 • 1 = 362,880

$500 Question from Solve

16C13

$500 Answer from Solve

16C13 = 16! = 560

13!3!

Final JeopardyIs this a combination or a permutation

and solve.Jack wants to ask four of his nine closest friends to go to the beach with him this summer. How many ways can he select the group of friends to accompany him?

Final Jeopardy Answer

Combination

9C4 = 9! = 126

4!5!