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A flag has to be designed with 4 horizontal stripes using some or all of the colours red, green and yellow. What is the number of different ways in which this can be done so that no two adjacent stripes have the same colour?
12
18
24
36
- We have a flag with 4 horizontal stripes.
- Each stripe can be colored using red, green, or yellow.
- No two adjacent stripes can have the same color.
- Calculate possibilities for each strip:
- The first stripe can be any of the 3 colors.
- The second stripe can be any of the 2 remaining colors not used by the first stripe.
- The third stripe can be any of the 2 colors not used by the second stripe.
- The fourth stripe can be any of the 2 colors not used by the third stripe.
- Calculation:
- 3 options for the first,
- 2 options for the second,
- 2 options for the third,
- 2 options for the fourth.
- Multiply possibilities: 3 * 2 * 2 * 2 = 24.
- ?? Correct Answer: Option 3, 24.
By: sunny bhonsle ProfileResourcesReport error
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