Combinations and Permutations

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Across
  1. 4. The notation for writing permutations
  2. 5. In what year did the inventor of Fibonacci sequence invent the concept?
  3. 7. The term Fibonacci was named based off of an Italian mathematician named?
  4. 8. 5, 45, 405, 3645, 32805 is what type of sequence?
  5. 15. A sequence created by multiplying a mathematical progression by its reciprocals
  6. 16. Process that counts the possible number of arrangements in a specific set
  7. 18. C (5, 10)
  8. 20. How many ways can you arrange the letters in the word NAIL?,
  9. 22. How many different ways can the letters of the word COMBINE be arranged so that no two vowels are in the same position?
  10. 23. 5, 10, 15, 20, 25 is what type of sequence?
  11. 26. A systematized order of things
  12. 27. How many ways can we arrange the word SCIENCE?
  13. 28. P (9, 4)
  14. 29. 1, 3, 2, 0, 2, 1 is an example of what sequence?
Down
  1. 1. How many different ways can the word BINOMIAL be arranged so that the vowel comes together?
  2. 2. A proper order of elements or contents in a certain set
  3. 3. Developed the concept of combinatorics
  4. 6. How many ways can you arrange the letters in the word FAMILY?
  5. 9. Permutation at which there are n options for the first decision, then n options for the second choice, with the number of options multiplying each time
  6. 10. Permutations in real-life, are usually used in what industry?
  7. 11. What is the action most associated with combinations?
  8. 12. Along with Pascal, also developed combinations
  9. 13. If there were 14 color variants in a store's inventory of notebooks, and you would like to buy 5 different color types, how many ways can these be picked?
  10. 14. Mathematics' Father of Sequences?
  11. 17. Permutations are a selection of what part of set?
  12. 19. If there are 12 books currently available in the history section of the bookstore, and you would like to randomly pick only 3, How many ways can these be picked?
  13. 21. P (7, 7)
  14. 22. P (3,2)
  15. 24. Subject related to the knowledge of permutations and combinations
  16. 25. The notation for writing combinations