QUESTION 6
Easy
A child has 2 shirts(one red an done blue) and 3 types of pants(jeans, khaki, and shorts). List all the possible combination of outfits consisting of one shirt and one pair of pants. Display your answer in a table format.
SOLUTION
1
Identify the choices
The child has:
(i) Shirts: red, blue
(ii) Pants: jeans, khaki, shorts
(i) Shirts: red, blue
(ii) Pants: jeans, khaki, shorts
2
Form all possible outfit combinations
Each shirt can be paired with each type of pants.
Total outfits = 2 × 3 = 6
| Shirt | Pants |
|---|---|
| Red Shirt | Jeans |
| Red Shirt | Khaki |
| Red Shirt | Shorts |
| Blue Shirt | Jeans |
| Blue Shirt | Khaki |
| Blue Shirt | Shorts |
Total outfits = 2 × 3 = 6
3
Write the sample space
\(S = \{(Red, Jeans), (Red, Khaki), (Red, Shorts), (Blue, Jeans), (Blue, Khaki), (Blue, Shorts)\}\)
Concept Note
A sample space is the set of all possible outcomes.
To find all combinations, pair each shirt with eaery type pf pants.
If one choice can be made in \(m\) ways and another in \(n\) ways, then the total number of combinations is \(m × n\).