SOLUTION: A mini license plate for a toy car must consist of two numbers followed by letter. Each number mus be a 5, 7 or 9. Each letter must be a c, a or n. Repetition of digidtsis not p

Question 338963: A mini license plate for a toy car must consist of two numbers followed by letter. Each number mus be a 5, 7 or 9. Each letter must be a c, a or n. Repetition of digidtsis not permitted.
1. use the counting principle to determine the number of points in the sample space?
2. Construct a tree diagram to represent this situation?
3. List the sample space
4 Determine the exact probability of creating a mini license plate with a given solution exactly in reduced fraction form.
Please show all work.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A mini license plate for a toy car must consist of two numbers followed by letter.
NNL
=====================
Each number must be a 5, 7 or 9.
Each letter must be a "c", "a", or "n".
Repetition of digits is not permitted.
--------------------------
1. use the counting principle to determine the number of points in the sample space?
1st number: 3 ways
2nd number: 2 ways
letter: 3 ways
Number of points in the sample space: 3*2*3 = 18
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2. Construct a tree diagram to represent this situation?
57a/57c/57n
59a/59c/59n
75a/75c/75n
79a/79c/79n
95a/95c/95n
97a/97c/97n
==================
3. List the sample space
done
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4 Determine the exact probability of creating a mini license plate with a given solution exactly in reduced fraction form.
Each pattern has probability 1/18 = 0556
====================
Cheers,
Stan H.

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