Fundamental Counting Principle Permutations and Combinations Questions It would be the whole assignment that needs to be done. Needs to be written out. Statistics & Probability
Chapter 1 Test
Name:
Per:
Standard 1: I can use Venn Diagrams, Tree Diagrams, lists and grids to find
outcomes of interest (including the sample space).
1. (1 point each) Use the Venn diagram to list the outcomes for each event below.
A
7
3
5
1
9
0
B
4
6
2
8
C
(a) A and B
(b) A B
(c) not A
(d) C
2. (1 point) If Kang rolled two 7-sided dice, list the ways that he could get a total of 8.
3. (2 points) Given the sets A = {strawberries, grapes, pears} and
B = {peaches, plums, grapes}, are these two events disjoint? Why or why not?
4. In a poll of 300 seniors, the following data was collected on whether they like
Mexican or Italian food.
Mexican = 203
Italian = 175
Mexican and Italian = 82
(a) (4 points) Draw a Venn diagram for these data.
(b) (1 point) How many seniors like Mexican or Italian food?
(c) (1 point) How many seniors do not like Mexican food?
5. Three balls are numbered 1, 2, and 3 are placed in a box. The box is shaken and all the
balls are drawn one at a time without replacement to make a three digit number.
(a) (2 points) Draw a tree diagram to find all possible three-digit numbers.
(b) (1 point) List the sample space:
S={
Standard 2: I can use Fundamental Counting Principle, permutations and
combinations to find total number of outcomes.
6. At Jake’s school, four students want to be captain of the soccer team, ten want captain
of the football team, seven want captain of the tennis team, and three want captain of the
cross country team.
(a) (1 point) How many total ways can one captain for each team be chosen?
(b) (1 point) How many total ways can two captains for each team be chosen?
7. (1 point) A quiz consists of four multiple-choice questions. Each question has five
possible answer choices. How many ways can a student fill out their quiz?
8. (1 point) Darnell decides to roll two 15-sided numbered polyhedrons. How many ways
can Darnell get a sum of 13?
15. There are 10 women and 10 men in the math department.
(a) (1 point) How many ways can a committee of 4 people be selected?
(d) (2 points) How many ways can 3 people be selected from this math
department (remember 10 women and 10 men) if the first person selected
will be the “president”, the second will be the “vice president”, and the third will
be the “secretary”?
Extra Credit (2 points): A baseball coach is determining the batting order for the team.
The team has nine members, but the coach does not want the pitcher to be one of the first
four to bat. How many possible orders are there assuming all team members must bat?
Purchase answer to see full
attachment