Free Practice Question
PS · Problem Solving
555-605
Combinations
The flag of the nation Zoravia must feature three distinct colored stripes of equal width, arranged either vertically or horizontally. Given that Zoravia's national colors are orange, purple, teal, white, and gray, how many unique flags can be designed?
Answer Choices
Correct answer marked belowA
30
B
60
C
90
120
Correct
E
240
See the full step-by-step explanation
You can see the correct answer above. Sign in for free to unlock the complete worked solution.
Track your performance and improve
Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.
Explanation
Preview
Official Explanation
Official
To determine the total number of flags, we first calculate the arrangements for horizontal stripes and then multiply by 2 to account for vertical arrangements. For the horizontal case, we need to find the number of ways to arrange 5 colors in 3 positions, which can be…
Read the full explanation
Sign in for free to see the complete step-by-step solution to this question.
Comments
2
Sign in to join the discussion
N
NguyenJul 3, 2024
how much time should this take to solve?
S
SoumyaApr 5, 2024
thank you for sharing
What this question tests
What it tests
Whether you can count arrangements and selections correctly — permutations vs. combinations.
Common trap
Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.
Details
Difficulty
555-605
Type
PS
Category