2. There are n(S) = 11 possible sums of the two dice: S =
{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
6. Note: selection with regard to order and with repeats.
3x3x3 = 27 branches.
10. There are two choices for each of the ten questions. Note:
selection with regard to order and with repeats. 2x2x2x2x2x2x2x2x2x2
= 2^10 = 1,024.
14. 10x9x8x7x6x5x4x3x2x1 = 10! = 3,628,800.
18. There are only 8 choices for the first digit and 10 choices
(with regard to order and repeats) for the remaining digits.
8x10x10x10x10x10x10 = 8,000,000.
22. a) 3x2x1 = 6, b) 1x1x1 = 1, c) 3x1x1 = 3, d) 2x1x1 = 2.
26. There are 2 choices of which gender sits in front seats,
then 2 choices of that gender for the right seat in front and
1 choice for the front left, then 2 choices for the right rear
seat of the other gender and 1 choice for the left rear seat.
2x2x1x2x1 = 8.
30. Selection with regard to order and with no repeats, 3
digits, and last digit must be odd. 5x4x3 = 60.
