Probability Jeopardy

Probability Jeopardy Final Jeopardy

$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 Answer from Combinations 16C8 = 16!/8!/8! = 12,870

$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?

$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?

$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 Solve The 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 Answer from Solve 15P5 = 15! = 360,360 10!

$200 Answer from Solve 8C5 = 8! = 56 5!3!

$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

Probability Jeopardy