help pls
instructions: Read each situation and count the number of occurrence of an outcome showing the FOUR WAYS OF COUNTING
1.) Ariel wants to order a dessert at a restaurant, the menu offers 3 kinds of pie and 2 kinds of cake, how many choices of dessert does Ariel have?
2.) jennilyn wants to date with here crush. she is wondering what to wear among her 2 skirt and blouse can jennilyn have?
the A. example is in the pictures.. THANKS
B. table
C. sytematic listing
D. foundamental counting principle
Answers & Comments
Answer:
1.)
A. By enumeration: Ariel has 5 choices of dessert.
B. By a table:
| Pies | Cakes |
|------|-------|
| 1. | 1. |
| 2. | 2. |
| 3. | |
Ariel has 5 choices of dessert.
C. By systematic listing:
- Pie 1
- Pie 2
- Pie 3
- Cake 1
- Cake 2
Ariel has 5 choices of dessert.
D. By the fundamental counting principle: Ariel has 3 choices for pie and 2 choices for cake, so she has 3 x 2 = 6 overall choices. However, since she can only choose one dessert, the answer is 5 (discarding the choice of not having dessert).
2.)
A. By enumeration: Jennilyn has 4 choices of outfit.
B. By a table:
| Skirts | Blouses |
|--------|---------|
| 1. | 1. |
| 2. | 2. |
Jennilyn has 4 choices of outfit.
C. By systematic listing:
- Skirt 1 & Blouse 1
- Skirt 1 & Blouse 2
- Skirt 2 & Blouse 1
- Skirt 2 & Blouse 2
Jennilyn has 4 choices of outfit.
D. By the fundamental counting principle: Jennilyn has 2 choices for skirt and 2 choices for blouse, so she has 2 x 2 = 4 overall choices.
Answer:
1. Ariel order 5 kinds of each other because Ariel offer 3kinds of pie and 2kinds of cake.