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!
