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A mini license plate for a toy car must consist of a number followed by two letters. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of letters is permitted.

• Use the counting principle to determine the number of points in the sample space.
• Construct a tree diagram to represent this situation • List the sample space.
• Determine the exact probability of creating a mini license plate with a C. Give solution exactly in reduced fraction form.

 

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