Probability Jeopardy

1
Probability Jeopardy
Combinations Permutations Solve Comb 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
Final Jeopardy
2
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?
3
100 Answer Combinations
4!/2!/2! 6

4
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?
5
200 Answer from Combinations
13!/6!/7! 1,716
6
300 Question from Combinations
6C3
7
300 Answer from Combinations
6C3 6!/3!/3! 20
8
400 Question from Combinations
16C8
9
400 Answer from Combinations
16C8 16!/8!/8! 12,870
10
500 Question from Combinations
14C5
11
500 Answer from Combinations
14C5 14!/5!/9! 2,002
12
100 Question from Permutations
How many ways can 6 students be arranged in a
line at the door?
13
100 Answer from Permutations
6P6 6!/0! 720
14
200 Question from Permutations
Calculate 7!
15
200 Answer from Permutations
7 6 5 4 3 2 1 5,040
16
300 Question from Permutations
6 track runners are in the finals. How many ways
can 1st, 2nd, and 3rd place be awarded?
17
300 Answer from Permutations
6P3 6!/3! 120
18
400 Question from Permutations
How many ways can 15 students on student council
be elected President, Vice-President, and
Treasurer?
19
400 Answer from Permutations
15P3 15!/12! 2,730
20
500 Question from Permutations
How many different 4-digit lock combinations can
you make with the digits 0-5, with no repeating
digits?
21
500 Answer from Permutations
6P4 6!/2! 360
22
100 Question from Solve
14P3
23
100 Answer from Solve
14P3 14!/11! 2,184
24
200 Question from Solve
10C4
25
200 Answer from Solve
10C4 10!/4!/6! 210
26
300 Question Solve
A family wants to visit three historic sites from
a list of twelve. How many ways can they select
three places?
27
300 Answer from Solve
12C3 12!/3!/8! 1,980
28
400 Question Solve
The senior class has 6 destinations to consider
for a class trip. In how many ways can pick the
top two destinations?
29
400 Answer from Solve
6P2 6!/4! 30
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?
31
500 Answer from Solve
32P4 32!/28! 863,040
32
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?
33
100 Answer fromComb or Perm
Combination
34
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?
35
200 Answer from Comb or Perm
Combination
36
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?
37
300 Answer from Comb or Perm
Permutation
38
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?
39
400 Answer fromComb or Perm
Permutation
40
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?
41
500 Answer fromComb or Perm
Combination
42
100 Question from Solve
15P5
43
100 Answer from Solve
15P5 15! 360,360 10!
44
200 Question from Solve
8C5
45
200 Answer from Solve
8C5 8! 56 5!3!
46
300 Question from Solve
9P4
47
300 Answer from Solve
9P4 9! 3,024 5!
48
400 Question from Solve
Find the value of 9!
49
400 Answer from Solve
9 8 7 6 5 4 3 2 1 362,880
50
500 Question from Solve
16C13
51
500 Answer from Solve
16C13 16! 560 13!3!
52
Final Jeopardy
Is 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?
53
Final Jeopardy Answer
Combination 9C4 9! 126 4!5!