Q4 2020-2021 Math 30-2 SAO Unit 2 Counting Methods Assignments /16 marks
Written Response: You must show all work for full marks. All work includes any symbols (n!, Pr,
nCr, etc.) used before typing into your calculator. 2 marks each.
1. Sarah is an interior designer and is re decorating a living room. She has some available
furniture in different colors. She has three couches that are black, grey or beige. Two large
chairs that are blue and green. She also has 2 coffee tables that are glass or marble. Create
a tree diagram and list all possible variations of furniture with one couch, one chair and one
coffee table. Use the fundamental counting principle to verify the total number of total
furniture variations. (2 marks)

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13

c.

step-by-step explanation: