Assignment:
A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of digits is permitted.
a). Use the counting principle to determine the number of points in the sample space.
b). Describe how a tree diagram would represent this situation.
c). List the sample space.
d). Determine the exact probability of creating a mini license plate with a 7. Give solution exactly in reduced fraction form.
Provide complete and step by step solution for the question and show calculations and use formulas.