Combinations and Permutations

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