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Search Results for permutations - All Grades

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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 10 Combinations and Permutations
Grade 7 Represent and Determine Probability CCSS: 7.SP.C.5
Grade 7 Represent and Determine Probability CCSS: 7.SP.C.8
Any one of the possible results of an action.
  1. Simple event
  2. Permutation
  3. Outcome
  4. Fundamental counting principle
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.
Grade 7 Represent and Determine Probability CCSS: 7.SP.C.7
An event that has one outcome or a collection of outcomes.
  1. Possible event
  2. Simple event
  3. Permutation event
  4. Counted event
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.C.5
How can one determine the coefficients of the Binomial Theorem expansion for (x+y)n, where n is an integer? There may be more than one correct answer.
  1. Pascal's Triangle
  2. Binomial Permutation
  3. (nk), k=0,...,n
  4. n!k!(n-k)!, k=0,...,n
Grade 11 Represent and Determine Probability CCSS: HSS-CP.B.9
At Karen's school, each locker comes with a lock that already has a combination. The locks use four numbers between 1 and 60 which aren't repeated. Karen is hoping that her locker combination has the numbers 4, 10, 22, and 50 which happen to have special significance for her. She doesn't care what order these numbers are in. She determines that there are P(60,4) total possibilities for the locker combination, and P(4,4) possibilities that include her numbers. Therefore, the probability that she gets her numbers is 2.1×10-6. Is she correct, and if not, why?
  1. No. Although justified in using permutations for the total number of possibilities, since order does matter, she should have used combinations to calculate the number of possibilities which include her numbers, since she doesn't care about the order for them. The probability should be C(4,4)P(60,4)=8.5×10-8.
  2. No. Even though the end answer is correct, it is by chance. The total possibilities for locker combinations is C(60,4) and the number of possibilities that include her numbers is C(4,4). This just happens to also equal 2.1×10-6.
  3. No. The correct number of possibilities for the lock combination should be 604. Therefore, the probability would be P(4,4)604=1.9×10-6.
  4. Yes. Karen's method is correct.