document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181411>Question 181411</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Data Analysis, Statistics, and Probability (worksheet)\r<BR>\n" );
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document.write( "Questions:<BR>\n" );
document.write( "While answering the questions please tell me how to get the answer. Thanks.\r<BR>\n" );
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document.write( "1.A menu has 3 appetizers, 5 salads, 7 entrees, and 4 desserts. How many different meals can be made from this menu?<BR>\n" );
document.write( "A.420<BR>\n" );
document.write( "B.840<BR>\n" );
document.write( "C.150<BR>\n" );
document.write( "D.270\r<BR>\n" );
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document.write( "2.The Personal Identification Number for a bank must be a four-digit number. Each digit can be a number between zero and nine. How many possible Personal Identification Numbers are there?<BR>\n" );
document.write( "A.10<BR>\n" );
document.write( "B.100<BR>\n" );
document.write( "C.1,000<BR>\n" );
document.write( "D.10,000\r<BR>\n" );
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document.write( "3.A man tosses a six-sided die three times. How many possible outcomes are there?<BR>\n" );
document.write( "A.18<BR>\n" );
document.write( "B.6^2<BR>\n" );
document.write( "C.6^3<BR>\n" );
document.write( "D.6^4\r<BR>\n" );
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document.write( "4.A piano club with 23 members needs a president, vice president, tutor, and treasurer. How many ways can the club choose the 4 officers.\r<BR>\n" );
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document.write( "Please help, thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136017 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=136017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "These are really all the same problem with different numbers.  I'll show you how to do the first one:\r<BR>\n" );
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document.write( "1.A menu has 3 appetizers, 5 salads, 7 entrees, and 4 desserts. How many different meals can be made from this menu?\r<BR>\n" );
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document.write( "Pick the appetizer first, you have 3 ways to do that.  Then, for each of those 3 ways to pick the appetizer, there are 5 ways to pick the salad -- so far, 15 ways to go.  Now for each of those 15 ways, there are 7 ways to pick the entree...\r<BR>\n" );
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document.write( "See the pattern?\r<BR>\n" );
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document.write( "The answer is to be found in the product: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 3 \times 5 \times 7 \times 4\">\r<BR>\n" );
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document.write( "You can do your own arithmetic.\r<BR>\n" );
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document.write( "One thing to remember when you are doing number 4.  Once you have picked a president, then there are only 22 people left to choose from.  Once you have picked a president and a vice-president, there are only 21 people left, and so on.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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