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Mathematics
8th -
11thgrade
Fundamental Counting Principle, Permutations, & Combinations
35 questions
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- 1. Multiple ChoiceA team of 8 basketball players needs to choose a captain and co-captain.64561540,320
- 2. Multiple ChoiceA group of 25 people are going to run a race. The top 8 finishers advance to the finals.2004.3609 x 101001,081,575
- 3. Multiple ChoiceA group of 45 people are going to run a race. The top three runners earn gold, silver, and bronze medals.13585,14014,19091,125
- 4. Multiple Choice
There are 45 applicants for three identical Computer Programmer positions.
135
85,140
14,190
91,125
- 5. Multiple ChoiceWhen does the order in which you are choose matter?CombinationPermutation
- 6. Multiple ChoiceWhen does the order in which you are choose not matter?CombiniationPermutation
- 7. Multiple ChoiceA disc jockey has to choose three songs for the last few minutes of his evening show. If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play three of those nine songs?845049!3!
- 8. Multiple ChoiceHow many 2-digit numbers can you make using the digits 1, 2, 3, & 4 without repeating the digits?901001224
- 9. Multiple ChoiceEva has eight glasses of water. In how many different orders can the glasses of water be arranged?8648!56
- 10. Multiple ChoicePermutation, combination, or neither?
The batting order for seven players on a 12 person team.combinationpermutationneither - 11. Multiple ChoicePermutation, combination, or neither?
There are 45 applicants for three Computer Programmer job positions.combinationpermutationneither - 12. Multiple ChoiceWhich of the following is an example of combination?Form a passcode with 4 digitsStudents line up in a queue to assemblyChoose 4 students in a class committeeChoose the chairperson, secretary and treasurer in a club
- 13. Multiple ChoicePermutation, combination, or neither?
A team of 8 basketball players need to choose a co-captain and captain.combinationpermutationneither - 14. Multiple ChoicePermutation, combination, or neither?
You have 4 framed portraits. How many ways can you arrange all 4 of them on the top of your bookshelf?combinationpermutationneither - 15. Multiple ChoiceWhat is the value of 8!40320363628805040
- 16. Multiple Choice
Picking two paint colors for your room.
Permutation
Combination
Neither
- 17. Multiple ChoiceMembers of 6 different school organizations decorated floats for the homecoming parade. How many different ways can first, second, and third prize be awarded?1812036
- 18. Multiple ChoiceHow many ways can you choose a manager and assistant from a 9-person task force?811872
- 19. Multiple ChoiceFind the number of possibilities:
A team of 17 softball players needs to choose three players to refill the water cooler.2724080680 - 20. Multiple ChoiceHow many ways can a stylist arrange 5 of 8 vases from left to right in a store display?672406720
- 21. Multiple Choice3P30369
- 22. Multiple Choice7P20742210
- 23. Multiple Choice20P2203806840116280
- 24. Multiple Choice12P424132132011880
- 25. Multiple Choice8P6481680672020160
- 26. Multiple Choice7!120720504040320
- 27. Multiple Choice13C0011326
- 28. Multiple Choice25C12550300230
- 29. Multiple Choice15C2151054551365
- 30. Multiple Choice12C33666220500
- 31. Multiple Choice14C140114196
- 32. Multiple ChoiceWhat is the formula for Permutations?n!n!∕(n-r)!n!∕(n-r)! r!r!∕(r-n)! n!
- 33. Multiple ChoiceWhat is the formula for Combinations?n!∕(n-r)! r!n!∕(n-r)!r!∕(r-n)! n!n!
- 34. Multiple Choice
Find the number of words, with or without meaning, that can be formed with the letters of the word ‘CHAIR’.
5
3125
120
25
- 35. Multiple ChoiceChoosing 3 toppings for your sundae out of a list of 15.PermutationCombinationNeither
- Answer choicesTagsAnswer choicesTags