document.write( "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. \r
\n" ); document.write( "\n" ); document.write( "1. use the counting principle to determine the number of points in the sample space?
\n" ); document.write( "2. Construct a tree diagram to represent this situation?
\n" ); document.write( "3. List the sample space
\n" ); document.write( "4 Determine the exact probability of creating a mini license plate with a given solution exactly in reduced fraction form.\r
\n" ); document.write( "\n" ); document.write( "Please show all work.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #242984 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
A mini license plate for a toy car must consist of two numbers followed by letter.
\n" ); document.write( "NNL
\n" ); document.write( "=====================\r
\n" ); document.write( "\n" ); document.write( "Each number must be a 5, 7 or 9.
\n" ); document.write( "Each letter must be a \"c\", \"a\", or \"n\".
\n" ); document.write( "Repetition of digits is not permitted.
\n" ); document.write( "--------------------------
\n" ); document.write( "1. use the counting principle to determine the number of points in the sample space?
\n" ); document.write( "1st number: 3 ways
\n" ); document.write( "2nd number: 2 ways
\n" ); document.write( "letter: 3 ways
\n" ); document.write( "Number of points in the sample space: 3*2*3 = 18
\n" ); document.write( "------------------------------------------------------
\n" ); document.write( "2. Construct a tree diagram to represent this situation?
\n" ); document.write( "57a/57c/57n
\n" ); document.write( "59a/59c/59n
\n" ); document.write( "75a/75c/75n
\n" ); document.write( "79a/79c/79n
\n" ); document.write( "95a/95c/95n
\n" ); document.write( "97a/97c/97n
\n" ); document.write( "==================
\n" ); document.write( "3. List the sample space
\n" ); document.write( "done
\n" ); document.write( "----------------------------
\n" ); document.write( "4 Determine the exact probability of creating a mini license plate with a given solution exactly in reduced fraction form.
\n" ); document.write( "Each pattern has probability 1/18 = 0556
\n" ); document.write( "====================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" ); document.write( "
\n" );