Probability Jeopardy Final Jeopardy Combinations Permutations Solve Comb or Perm Solve Q $100 $100Q $100 Q $200 Q $300 Q $400 Q $500.

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Presentation transcript:

Probability Jeopardy Final Jeopardy Combinations Permutations Solve Comb or Perm Solve Q $100 $100Q $100 Q $200 Q $300 Q $400 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 6C36C3

$300 Answer from Combinations 6 C 3 = 6!/3!/3!= 20

$400 Question from Combinations 16 C 8

$400 Answer from Combinations 16 C 8 = 16!/8!/8! = 12,870

$500 Question from Combinations 14 C 5

$500 Answer from Combinations 14 C 5 = 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 6 P 6 = 6!/0!= 720

$200 Question from Permutations Calculate 7!

$200 Answer from Permutations = 5,040

$300 Question from Permutations 6 track runners are in the finals. How many ways can 1 st, 2 nd, and 3 rd place be awarded?

$300 Answer from Permutations 6 P 3 = 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 15 P 3 = 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 6 P 4 = 6!/2!= 360

$100 Question from Solve 14 P 3

$100 Answer from Solve 14 P 3 = 14!/11! = 2,184

$200 Question from Solve 10 C 4

$200 Answer from Solve 10 C 4 = 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 12 C 3 = 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 6 P 2 = 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 32 P 4 = 32!/28! = 863,040

$100 Question from Comb 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 from Comb or Perm Combination

$200 Question from Comb 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 from Comb 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 from Comb or Perm Permutation

$500 Question from Comb 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 from Comb or Perm Combination

$100 Question from Solve 15 P 5

$100 Answer from Solve 15 P 5 = 15! = 360,360 10!

$200 Question from Solve 8C58C5

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

$300 Question from Solve 9P49P4

$300 Answer from Solve 9 P 4 = 9! = 3,024 5!

$400 Question from Solve Find the value of 9!

$400 Answer from Solve = 362,880

$500 Question from Solve 16 C 13

$500 Answer from Solve 16 C 13 = 16! = !3!

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?

Final Jeopardy Answer Combination 9 C 4 = 9! = 126 4!5!