Permutation and Combination

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Across
  1. 3. How many words can you form from the letters J,A,K,E?
  2. 5. How many weeks can Jay use his 5 pants and 7 polo shirts in different pairing style combination each day?
  3. 7. How many groups of three letters can be made from the letters B,T,S,E,and N?
  4. 10. How many handshakes can be made if a group with 10 people will shake hands with a member once?
  5. 15. How many ways can Jin select two shirts from the 4 shirts he brought?
  6. 16. How many times can a leader and sub-leader can be chosen from a team with 4 members?
  7. 18. How many ways can a captain and vice-captain be selected from a group of 10 students?
  8. 21. How many combinations can be made from arranging seven bags into groups of three in a cabinet?
  9. 24. How many different brownie combinations can Sunoo make using four different types of frosting, three different chocolate flavors, and 8 different brownie toppings if each brownie has one type of frosting, one type of chocolate and one type of topping?
  10. 26. How many number of arrangements can be made is a dice is rolled twice?
  11. 27. How many different words can be made from letters of the word ‘JIMIN’ with an arrangement that vowels always come together?
  12. 28. How many ways of selecting a group composed of 3 boys and 2 girls can be done from a cluster of 5 boys and 5 girls ?
  13. 29. How many triangles can be formed from the 9 points arranged in a particular plane?
Down
  1. 1. selection of elements from a collection or set
  2. 2. happens in a permutation if an element will exist for more than once in a selection or group
  3. 4. How many groups of three queens can be selected from a pool of 4 queens in a deck of cards?
  4. 6. How many lines can be drawn using a pair of points from a set of 8 points arranged in a plane where no 3 points are lying in a straight line?
  5. 8. How many five digit even numbers can be made from digits 3,4,5?
  6. 9. How many different crayon combinations in groups of 3 can be selected from a pool of 8 different colored crayons?
  7. 11. How many combination pairs can be selected from a group of 6 individuals?
  8. 12. How many ways can Joy select 2 pencils from her 12 pencils in the case?
  9. 13. How many selections of five balls can be made from a pool of 5 yellow balls and 3 black balls wherein at least 3 balls were yellow?
  10. 14. How many table-chair pair combinations can an organizer derive from ten patterns of chairs and eight patterns of tables?
  11. 15. How many 3 digit numbers can we make using the produce from numbers 7,8,9 and 0 without repetitions?
  12. 17. How many was can a three member committee, 2 boys and 1 girl, be formed from a student pool of 5 boys and 4 girls?
  13. 19. indicates that all the consecutive positive integers from 1 up to the number given, n, are to be multiplied
  14. 20. How many was can 3 balls be drawn with at least one blue ball from a bag containing 2 black balls, 3 blue balls and 4 yellow balls ?
  15. 22. How many ways can a student fail if he needs to pass all five different subjects?
  16. 23. method of arranging elements in a particular order
  17. 25. How many teams are participating if there are 21 matches and each team plays only one match with another team?