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Combinations and Permutations Questions - All Grades

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Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
What is the formula for finding the probability of an event given that it is not the complement of another event?
  1. P(A)
  2. 1 - P(A)
  3. P(A | complement of B)
  4. P(complement of B | A)
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
What is the formula for finding the probability of event A or event B, but not both?
  1. P(A) + P(B)
  2. P(A) - P(A and B)
  3. P(B) - P(A and B)
  4. P(A) + P(B) - 2 * P(A and B)
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
What is the sum of all possible probabilities in a sample space equal to?
  1. 0
  2. 1
  3. 100%
  4. 50%
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
If two events are independent, what is the formula for their joint probability?
  1. P(A) * P(B)
  2. P(A and B)
  3. P(A) + P(B)
  4. P(A | B)
Grade 8 Combinations and Permutations
Evaluate.
5!
  1. 15
  2. 120
  3. 720
  4. 100
Grade 10 Combinations and Permutations CCSS: HSS-CP.B.9
What is the formula for finding the conditional probability of two events A and B?
  1. P(A and B)
  2. P(A) * P(B)
  3. P(A | B)
  4. P(B | A)
Grade 9 Combinations and Permutations
The best definition for permutation is
  1. the outcome of one event does affect another event.
  2. the chance something will happen.
  3. an arrangement of objects in a certain order.
  4. the result of an experiment.
Grade 12 Combinations and Permutations
If 4! is equal to 4 x 3 x 2 x 1, then 9! is equal to which expression?
  1. 9 x 8 x 7 x 6 x 5 x 4
  2. 9 x 1
  3. 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
  4. 9 x 4
Grade 11 Combinations and Permutations
To find the total number of arrangements in a combination you must
  1. multiply the elements together.
  2. determine the number of elements, then multiply.
  3. find the probability of each element, then multiply.
  4. divide the number of favorable outcomes by the number of total outcomes.
Grade 11 Combinations and Permutations
Simplify the expression.
(n+1)!(n-1)!
  1. n
  2. n(n+1)
  3. 1
  4. (n+1)
  5. none of these are correct
Grade 10 Combinations and Permutations
When determining the number of ways to arrange items when the ORDER MATTERS, what are you determining?
  1. permutations
  2. combinations
  3. neither one
Grade 11 Combinations and Permutations
How do you find the total number of arrangements in a permutation?
  1. Multiply the elements together.
  2. Determine the number of elements, then multiply.
  3. Find the probability of each element, then multiply.
  4. Divide the number of favorable outcomes by the number of total outcomes.
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