1, When determining the number of possibilities, which of the following is used when order matters?

Question 1 options:

a. Permutations b. Pascal's triangle c. Combinations d. Linear system

2, Canadian postal codes are of the form "letter number letter number letter number," such as K2N 3P8. In the province of Ontario all postal codes must begin with K, L, M, N, or P. How many postal codes are possible for Ontario? Include evidence of your work by typing out your full solution.

3, A passcode for a secure website has 6 digits. The first digit cannot be 0. The final 6-digit passcode must be an even number. No digit can be repeated. How many different passcodes are possible? Include evidence of your work by typing out your full solution.

4, In a cribbage game with 2 people, each player is dealt 6 cards to start a round. How many 6-card hands are possible? Include evidence of your work by typing out your full solution.

Question 4 options:

5, Suppose the city of MISSISSAUGA has a contest where they arrange the letters of their city name in a particular order. The city residents have to guess which order the city has chosen, and the winner gets $10 000. The rules allow people to submit more than one entry, but they each have to be mailed individually. A friend of yours wants to mail every possible entry to be guaranteed to win the $10 000. Use a mathematical argument to explain to your friend why this isn't a good idea. Include evidence of your work by typing out your full solution.

6, A family has 3 boys and 5 girls.In how many ways can their parents choose a basketball team of 5 people? Include evidence of your work by typing our your solution.

7, A family has 3 boys and 5 girls. How many of these teams of 5 will contain at least 3 girls? Use the indirect approach to find the answer. Include evidence of your work by typing out a solution.

8, A family has 3 boys and 5 girls. How many of these teams of 5 will contain exactly 2 boys? Include evidence of your work by typing out your full solution.

9, When trying to determine the number of boys in the classroom, the teacher counts the number of girls and subtracts this from the total. This is an example of the direct method.

Question 9 options:

a. True b. False

10, A pharmacist uses 6 separate weights: 1g, 2g, 4g, 8g, 16g, and 32g.If the pharmacist can combine these weights to create new weights, how many different weights are possible? Include evidence of your work by typing out your full solution.

11, There are 134grade9 students.Ateacher surveyed the students and collected the following data:

40 of them play sports, 80 of them are in the band, and 20 of them are on student council

17 both play a sport and are in the band

13 both are in the band and areon student council

9 both play a sport and are on student council

5 play a sport, are in the band, and are on student council

What are the values for each part of the Venn Diagram?

''Write your''answers as follows:

a=

b=

c=

d=

e=

f=

12, In a class of 50 students, a teacher surveyed the students and collected the following data:

24 play basketball, 27 play volleyball, and 29 play badminton.

18 play both basketball and volleyball.

16 play both badminton and volleyball.

14 play both basketball and badminton.

10 play all three sports.

Based on the Venn diagram of the situation, how many students only play badminton?

Question 12 options:

a. 9 b. 4 c. 10 d. 29

13, In a class of 50 students, a teacher surveyed the students and collected the following data:

24 play basketball, 27 play volleyball, and 29 play badminton.

18 play both basketball and volleyball.

16 play both badminton and volleyball.

14 play both basketball and badminton.

10 play all three sports.

Based on the Venn diagram of the situation, how many students do not play any of the threesports?

Question 13 options:

a. 2 b. 10 c. 42 d. 8

14, In a class of 50 students, a teacher surveyed the students and collected the following data:

24 play basketball, 27 play volleyball, and 29 play badminton.

18 play both basketball and volleyball.

16 play both badminton and volleyball.

14 play both basketball and badminton.

10 play all three sports.

Based on the Venn diagram of the situation, how many students play volleyball or basketball?

Question 14 options:

a. 18 b. 8 c. 5 d. 33