Permutation and Combination Crossword Puzzle

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Across
  1. 1. An enumerated collection of objects in which repetitions are allowed and order matters.
  2. 7. It helps to calculate the number of possible outcomes of an event in an organized way.
  3. 10. A combination is used for a ______ of data.
  4. 12. The collection of all permutations of a set form a group called the _____ group of the set.
  5. 13. An _____ of a set of objects is called a permutation.
  6. 16. A permutation is used for a _____ of data
  7. 17. In combination, _____ does not matter.
  8. 19. _____ notation describes the effect of repeatedly applying the permutation on the elements of the set.
  9. 20. In ______ if we have the lucky numbers no matter what order) we win!
  10. 22. A ______ is the mathematical model for a collection of different things.
  11. 23. A method used for listing all the possible outcomes.
  12. 24. _____ space is a collection or a set of possible outcomes of a random experiment.
  13. 28. A combination determines the number of possible arrangements in a _____ of items where the order of the selection does not matter.
  14. 29. In the case of permutation without repetition, the number of available ______ will be reduced.
  15. 30. A set of possible outcomes resulting from a particular experiment.
Down
  1. 2. Combinations are studied in ______ but are also used in different disciplines, including mathematics and finance.
  2. 3. This usage of the term permutation is closely related to the term ______.
  3. 4. It is called a permutation with no fixed points
  4. 5. A result of an event that depends on the probability.
  5. 6. A particular way to encode each possible permutation of a sequence of n numbers.
  6. 8. The factorial _______ is denoted or represented as n!
  7. 9. An arrangement of objects in which order is important.
  8. 11. Triangle is a triangular array of the binomial coefficients that arises in probability theory, combinatorics, and algebra.
  9. 14. Permutation can be easily calculated with _____.
  10. 15. _____ permutation is the total number of ways in which n distinct objects can be arranged around a fix circle.
  11. 18. It is very much essential in permutations.
  12. 21. The analysis of events governed by probability
  13. 25. Act of determining the quantity or the total number of objects in a set or a group.
  14. 26. The study of permutations of _____ sets is an important topic in the fields of combinatorics and group theory.
  15. 27. A product of all positive integers less or equal to the number preceding the factorial sign.