N = {Alan, Bill, Cathy, David, Evelyn}.

Assuming that all members are eligible, but no one can hold more than one office, list and count the different ways the club could elect each group of officers. (Cathy and Evelyn are women, and the others are men.)

5. a president and a treasurer

6. a president and a treasurer if the president must be a woman

7. a president and a treasurer if the two officers must be the same sex

8. a president, a secretary, and a treasurer, if the president and treasurer must be women

9. a president, a secretary, and a treasurer, if the president must be a man and the other two must be women

10. a president, a secretary, and a treasurer, if all three officers must be men.

Refer to Table 2 (the product table for rolling two dice). Of the 36 possible outcomes, determine the number for which the sum (for both dice) is the following.

Refer to Table 2 (the product table for rolling two dice). Of the 36 possible outcomes, determine the number for which the sum (for both dice) is the following.

15. 2

16. 3

17.4

18. 5

19.6

20.7

21. 8

22.9

23.10

24. 11

25. 12

26. 13

27.odd

28.even

29.prime

38. Construct a product table showing all possible two-digit numbers using digits from the set

{2, 3, 5, 7}.

Of the sixteen numbers in the product table for Exercise 38, list the ones that belong to each category.

39. numbers with repeating digits

40. even numbers

41. prime numbers

42. multiples of 3