document.write( "Question 1199175: In how many ways can a student select five questions to answer from an exam containing nine
\n" ); document.write( "questions if the student is required to answer the first and the last question?
\n" ); document.write( "

Algebra.Com's Answer #832892 by ikleyn(52788)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "In how many ways can a student select five questions to answer from an exam containing nine
\n" ); document.write( "questions if the student is required to answer the first and the last question?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Student should select five questions to answer, but of these five questions, two of them,\r\n" );
document.write( "the first and the last questions, are obligatory: they are not the subject of choice.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It means that the student really selects only 5-2 = 3 questions from 9-2 = 7 questions.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The number of way to select 3 questions from 7 questions is  \r\n" );
document.write( "\r\n" );
document.write( "    \"C%5B7%5D%5E3\" = \"%287%2A6%2A5%29%2F%281%2A2%2A3%29\" = 35.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER. In 35 ways.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );