document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=277121>Question 277121</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm having difficulty with these problems if anyone could help I'd really appreciate it.\r<BR>\n" );
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document.write( "The first one:<BR>\n" );
document.write( "A exam has 5 questions with 4 choices each and one correct answer per question<BR>\n" );
document.write( "1.  How many ways can you fill out a answer sheet<BR>\n" );
document.write( "2.  How many ways can you fill out the sheet to have 4 answers correct and 1 incorrect<BR>\n" );
document.write( "3.  If a student guesses randomly at each, what is the probability the student gets three or fewer correct\r<BR>\n" );
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document.write( "The second question:<BR>\n" );
document.write( "Possible grades include A, B, C, D, and F.<BR>\n" );
document.write( "1.  Seven students in a class, how many ways can a teacher assign grades to the class<BR>\n" );
document.write( "2.  How many ways can a teacher assign grades to seven students if nobody gets an F but only one student gets an A </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #201827 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=201827\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A exam has 5 questions with 4 choices each and one correct answer per question<BR>\n" );
document.write( "1. How many ways can you fill out a answer sheet<BR>\n" );
document.write( "# of ways to pick a question: 5<BR>\n" );
document.write( "# of ways to answer a question: 4<BR>\n" );
document.write( "Ans: 4*4*4*4*4 = 4^5 = 1024<BR>\n" );
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document.write( "2. How many ways can you fill out the sheet to have 4 answers correct and 1 incorrect<BR>\n" );
document.write( "# of ways to choose 1 incorrect answer: 5<BR>\n" );
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document.write( "3. If a student guesses randomly at each, what is the probability the student gets three or fewer correct<BR>\n" );
document.write( "Binomial Problem with n=5, p = 1/4 , 0<= x <=3<BR>\n" );
document.write( "Using TI-84 I get binomcdf(5,1/4,3) = 0.9844<BR>\n" );
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document.write( "  <BR>\n" );
document.write( "The second question:<BR>\n" );
document.write( "Possible grades include A, B, C, D, and F.<BR>\n" );
document.write( "1. Seven students in a class, how many ways can a teacher assign grades to the class<BR>\n" );
document.write( "Each of the seven can get either of the 5 grades<BR>\n" );
document.write( "Ans: 5*7 = 78125 ways<BR>\n" );
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document.write( "2. How many ways can a teacher assign grades to seven students if nobody gets<BR>\n" );
document.write( " an F but only one student gets an A<BR>\n" );
document.write( "Ways to give the A = 7<BR>\n" );
document.write( "Ways to grade the remaining 6 students: 4^6 = 4096<BR>\n" );
document.write( "Ans: 7*4096 = 28672<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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