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Type Topic in here!. Question 1 - 10. Answer 1 – 10 . Question 1 - 20. Answer 1 – 20 . Question 1 - 30. Answer 1 – 30 . Question 1 - 40. Answer 1 – 40 . Question 1 - 50. Answer 1 – 50 . Question 2 - 10. What is the 3 rd element of the 6 th row of Pascal’s Triangle?. Answer 2 – 10 .

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Type Topic in here!

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  1. Type Topic in here!

  2. Question 1 - 10

  3. Answer 1 – 10

  4. Question 1 - 20

  5. Answer 1 – 20

  6. Question 1 - 30

  7. Answer 1 – 30

  8. Question 1 - 40

  9. Answer 1 – 40

  10. Question 1 - 50

  11. Answer 1 – 50

  12. Question 2 - 10 What is the 3rd element of the 6th row of Pascal’s Triangle?

  13. Answer 2 – 10 What is the 3rd element of the 6th row of Pascal’s Triangle? 20

  14. Question 2 - 20 What is the sum of the 6th row of Pascal’s Triangle?

  15. Answer 2 – 20 What is the sum of the 6th row of Pascal’s Triangle? 64

  16. Question 2 - 30 What is the 3rd coefficient of (a+b)4?

  17. Answer 2 – 30 What is the 3rd coefficient of (a+b)4? 4

  18. Question 2 - 40 For the expansion of (a+b)5, what is the exponent of a when the coefficient is 5C4?

  19. Answer 2 – 40 For the expansion of (a+b)5, what is the exponent of a when the coefficient is 5C4? 1

  20. Question 2 - 50 What is the 2nd coefficient of (3x-4)4?

  21. Answer 2 – 50 What is the 2nd coefficient of (3x-4)4? 864

  22. Question 3 - 10 What is size of the union of sets A, B, C?

  23. Answer 3 – 10 What is size of the union of sets A, B, C? 57

  24. Question 3 - 20 How many elements are in A AND B?

  25. Answer 3 – 20 How many elements are in A AND B? 4

  26. Question 3 - 30 How many elements are in C AND B but not in A?

  27. Answer 3 – 30 How many elements are in C AND B but not in A? 7

  28. Question 3 - 40 How many elements are in C OR B but not in A?

  29. Answer 3 – 40 How many elements are in C OR B but not in A? 37

  30. Question 3 - 50 What is the formula for finding the number of elements in the union of sets A, B, and C?

  31. Answer 3 – 50 What is the formula for finding the number of elements in the union of sets A, B, and C? AUBUC = |A|+|B|+|C|-|A∩B|-|A ∩B|-|B∩C|+|A∩B∩C|

  32. Question 4 - 10 At Subway, you have a choice of lettuce, onions, tomatoes, green peppers, mushrooms, cheese, olives, cucumbers, and hot peppers on your submarine sandwich. How many ways can you “dress” your sandwich?

  33. Answer 4 – 10 At Subway, you have a choice of lettuce, onions, tomatoes, green peppers, mushrooms, cheese, olives, cucumbers, and hot peppers on your submarine sandwich. How many ways can you “dress” your sandwich? 29-1 = 511

  34. Question 4 - 20 Ballots for municipal elections usually list candidates for several different positions. If a resident can vote for a mayor, two councillors, a school trustee, and a hydro commissioner, how many combinations of positions could the resident chose to mark on the ballot?

  35. Answer 4 – 20 Ballots for municipal elections usually list candidates for several different positions. If a resident can vote for a mayor, two councillors, a school trustee, and a hydro commissioner, how many combinations of positions could the resident chose to mark on the ballot? 2x3x2x2=24

  36. Question 4 - 30 There are 12 questions on an examination, and each student must answer 8 questions including at least 4 of the first 5 questions. How man different combinations of questions could a student choose to answer?

  37. Answer 4 – 30 There are 12 questions on an examination, and each student must answer 8 questions including at least 4 of the first 5 questions. How man different combinations of questions could a student choose to answer? 5C4x7C4+5C5x7C3 = 210

  38. Question 4 - 40 Naomi invites 8 friends to a party on short notice, so they may not all be able to come. How many combinations of guests could attend this party? Remember, if no one shows up, then it isn’t a party, now is it?

  39. Answer 4 – 40 Naomi invites 8 friends to a party on short notice, so they may not all be able to come. How many combinations of guests could attend this party? Remember, if no one shows up, then it isn’t a party, now is it? 28-1 = 256

  40. Question 4 - 50 In how many ways could 15 different books be divided equally among 3 people?

  41. Answer 4 – 50 In how many ways could 15 different books be divided equally among 3 people? 15C5x10C5x5C5 = 756,756

  42. Question 5 - 10 A bridge hand consists of 13 cards. How many bridge hands include 5 cards of one suit, 6 cards of a second, and 2 cards of a third?

  43. Answer 5 – 10 A bridge hand consists of 13 cards. How many bridge hands include 5 cards of one suit, 6 cards of a second, and 2 cards of a third? 4x13C5x13C6x13C2 = 689,049,504

  44. Question 5 - 20 Explain why combination locks should really be called permutation locks.

  45. Answer 5 – 20 Explain why combination locks should really be called permutation locks. Order matters!

  46. Question 5 - 30 The camera club has five members, and the mathematics club has eight. There is only one member common to both clubs. In how many ways could a committee of four people be formed with at least one member from each club?

  47. Answer 5 – 30 The camera club has five members, and the mathematics club has eight. There is only one member common to both clubs. In how many ways could a committee of four people be formed with at least one member from each club? 12C4 - 4C4 - 7C4= 459

  48. Question 5 - 40 A cookie jar contains three chocolate-chip, two peanut-butter, four lemon, two almond, and five raisin cookies. In how many ways can you reach into the jar and select some cookies?

  49. Answer 5 – 40 A cookie jar contains three chocolate-chip, two peanut-butter, four lemon, two almond, and five raisin cookies. In how many ways can you reach into the jar and select some cookies? 4x3x5x3x6-1= 1079

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