I need help with 1-15

Knowledge: True/False (1 mark each) Indicate whether the statement is true or false. 1. A hint for using the multiplicative counting principle is the conjunction "and". 2. A tree diagram can be related to counting principles by multiplying the number of choices in each stage of the diagram. 3. Factorials can be used to evaluate any counting problem. 4. To determine the number of permutations of n items when some are alike, divide by the numbers of like items. 5. A given term in Pascal's triangle can be determined by adding the two terms immediately above in the previous row. Multiple Choice Identify the choice that best completes the statement or answers the question. 6. Two hundred students each bought one ticket for a draw. Three different prizes will be given out. In how many ways could this be done? a. 200 x 3 2003 b. 200 x 199 x 198 d. 3200 7. While shopping for a new outfit, Joanne finds five dresses she likes as well as three pairs of shoes and six different handbags. In how many ways can she choose her new outfit? a. 21 b. 50 C. 90 d. 14 8. Evaluate 17P4 2380 b. C. 68 57 120 d. 21 9. In how many ways could nine people line up for a photograph? a. 3 628 800 C. 72 b. 81 d. 362 880 10. How many paths spell MANAGE? M A A N N N A A A A G G G a. 10 C. 20 b. . 100 11. In how many ways can a 12-member jury be chosen from a pool of 22 citizens? a. 2640 C. 3 628 800 b. 646 646 d. 479 001 600 12. Three men and four women are to be selected from a group of 10 men and 12 women. In how many ways could this be done? a. 10 3 X 12 4 101 121 31 * 41 b. 10!4! d. 10 3 X 12 C4 13. In how many ways can a committee with nine members form a subcommittee with at least one person on it? a. 64 511 b. 256 1. 1027 14. There are two green, four red, one blue, one brown, one yellow and five purple marbles in a bag. In how many ways could Laurette reach in the bag and pull out some marbles? a. 2x4 x 1 x 1 x 1 x5 c. 3 x5 x 2 x 2 x 2 x6 - 1 b. 2 x4x 1 x1 x1 x5- 1 3 x5 x2 x2 x2 x6 15. Use Pascal's formula to rewrite 10Co + 10C7. a. 1C6 b. 1167