document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=266657>Question 266657</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Oh please help me, this problem has almost made me cry.  I am a 34 year old student and can't even begin to understand this..\r<BR>\n" );
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document.write( "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.  Repetitions of letters is permitted.\r<BR>\n" );
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document.write( "there are 4 parts to this:\r<BR>\n" );
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document.write( "1. Use the counting principle to determine the number of points in the sample space.<BR>\n" );
document.write( "2. Construct a tree diagram to represent this situation.<BR>\n" );
document.write( "3. List the sample space.<BR>\n" );
document.write( "4. Determine the EXACT probability of creating a mini license plate with a C. Give the solution in reduced fraction form.\r<BR>\n" );
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document.write( "Please show me everything, I have 7 other problems to do like this and I need alot of help please,  I am taking online courses and my professor isn't helping much at all. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #195902 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=195902\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First our license plate must be in the form of<BR>\n" );
document.write( "# - L - L,<BR>\n" );
document.write( "or,<BR>\n" );
document.write( "number - letter - letter.<BR>\n" );
document.write( "we have 2 choices for the numbers, 3 or 7<BR>\n" );
document.write( "we have 3 choices for the letters c - a - r.<BR>\n" );
document.write( "repetition is allowed: So there is a second 3 choices for letters c - a  - r<BR>\n" );
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document.write( "1. Use the counting principle to determine the number of points in the sample space.<BR>\n" );
document.write( "ANSWER: The counting principal is all about multiplying the number of ways one event occurs x the number of ways a second event occurs x the number of ways a third event occurs and so on. In our case we have 2 number choices and 3 letter choices, but two times.<BR>\n" );
document.write( "2 x 3 x 3 = 18.<BR>\n" );
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document.write( "2. Construct a tree diagram to represent this situation.<BR>\n" );
document.write( "ANSWER:<BR>\n" );
document.write( "step 1 - write a 3 and below it with a little space write a 7<BR>\n" );
document.write( "step 2 - from the 3 draw 3 arrows and next to the end of these write c, a, r<BR>\n" );
document.write( "step 3 - next to each of the letters draw another 3 arrows and write the letters again for c, a, r<BR>\n" );
document.write( "step 4 - from the 7 draw 3 arrows and next to the end of these write c, a, r<BR>\n" );
document.write( "step 5 - next to each of the letters draw another 3 arrows and write the letters again for c, a, r<BR>\n" );
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document.write( "3. List the sample space.<BR>\n" );
document.write( "ANSWER: this is pretty straight forward from the tree diagram. we get<BR>\n" );
document.write( "3aa, 3ab, 3ac, 3ba, 3bb, 3bc, 3ca, 3cb, 3cc,<BR>\n" );
document.write( "7aa, 7ab, 7ac, 7ba, 7bb, 7bc, 7ca, 7cb, 7cc.<BR>\n" );
document.write( "3ab plate is different from 3ba plate<BR>\n" );
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document.write( "4. Determine the EXACT probability of creating a mini license plate with a C. Give the solution in reduced fraction form. <BR>\n" );
document.write( "ANSWER: 3ac, 3bc, 3cc, 3ca, 3cb, 7ac, 7bc, 7cc, 7ca, 7cb<BR>\n" );
document.write( "\"with a C\" means to me one or two C\"s in any order.<BR>\n" );
document.write( "P(C) = 10/18 = 5/9. </SPAN>\n" );
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