document.write( "Question 1010835: In how many different ways can a true-false test consisting
\n" );
document.write( "of 9 questions be answered?\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #626304 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! In how many different ways can a true-false test consisting \n" ); document.write( "of 9 questions be answered? \n" ); document.write( " \r\n" ); document.write( "There are 2 ways to answer question 1.\r\n" ); document.write( "\r\n" ); document.write( "For each of those 2 ways to answer question 1, \r\n" ); document.write( "there are 2 ways to answer question 2.\r\n" ); document.write( "That's 2*2 or 22 ways to answer questions 1 and 2.\r\n" ); document.write( "\r\n" ); document.write( "For each of those 22 ways to answer questions 1 and 2, \r\n" ); document.write( "there are 2 ways to answer question 3.\r\n" ); document.write( "That's 2*2*2 or 23 ways to answer questions 1 through 3.\r\n" ); document.write( "\r\n" ); document.write( "For each of those 23 ways to answer questions 1 through 3, \r\n" ); document.write( "there are 2 ways to answer question 4.\r\n" ); document.write( "That's 2*2*2*2 or 24 ways to answer questions 1 through 4.\r\n" ); document.write( "\r\n" ); document.write( "For each of those 24 ways to answer questions 1 through 4, \r\n" ); document.write( "there are 2 ways to answer question 5.\r\n" ); document.write( "That's 2*2*2*2*2 or 25 ways to answer questions 1 through 5.\r\n" ); document.write( "\r\n" ); document.write( "For each of those 25 ways to answer questions 1 through 5, \r\n" ); document.write( "there are 2 ways to answer question 6.\r\n" ); document.write( "That's 2*2*2*2*2*2 or 26 ways to answer questions 1 through 6.\r\n" ); document.write( "\r\n" ); document.write( "For each of those 26 ways to answer questions 1 through 6, \r\n" ); document.write( "there are 2 ways to answer question 7.\r\n" ); document.write( "That's 2*2*2*2*2*2*2 or 27 ways to answer questions 1 through 7.\r\n" ); document.write( "\r\n" ); document.write( "For each of those 27 ways to answer questions 1 through 7, \r\n" ); document.write( "there are 2 ways to answer question 8.\r\n" ); document.write( "That's 2*2*2*2*2*2*2*2 or 28 ways to answer questions 1 through 8.\r\n" ); document.write( "\r\n" ); document.write( "For each of those 28 ways to answer questions 1 through 8, \r\n" ); document.write( "there are 2 ways to answer question 9.\r\n" ); document.write( "That's 2*2*2*2*2*2*2*2*2 or 29 ways to answer questions 1 through 9.\r\n" ); document.write( "\r\n" ); document.write( "Answer: 29 = 512 ways.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |