document.write( "Question 1191410: How many 4-letter words can be formed from DESTINY? (NOTE:The
\n" );
document.write( "word may not mean anything.)
\n" );
document.write( "A. If repetition of the digits is permitted?
\n" );
document.write( "B. If repetition of the digits is not permitted? \n" );
document.write( "
Algebra.Com's Answer #823219 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! How many 4-letter words can be formed from DESTINY? (NOTE:The \n" ); document.write( "word may not mean anything.) \n" ); document.write( "A. If repetition of the digits is permitted? \n" ); document.write( " \r\n" ); document.write( "Choose the 1st letter any of 7 ways.\r\n" ); document.write( "There are still 7 ways to choose the 2nd letter, since you can repeat the\r\n" ); document.write( "letter you chose first.\r\n" ); document.write( "Choose the 2nd letter any of 7 ways.\r\n" ); document.write( "There are still 7 ways to choose the 3rd letter, since you can repeat the\r\n" ); document.write( "letters you chose first and second.\r\n" ); document.write( "Choose the 3rd letter any of 7 ways.\r\n" ); document.write( "There are still 7 ways to choose the 4th letter, since you can repeat the\r\n" ); document.write( "letters you chose first, second, and third.\r\n" ); document.write( "Choose the 4th letter any of 7 ways.\r\n" ); document.write( "\r\n" ); document.write( "7x7x7x7 = 74 = 2401B. If repetition of the digits is not permitted? Choose the 1st letter any of 7 ways.\r\n" ); document.write( "There are only 6 ways to choose the 2nd letter, since you cannot repeat \r\n" ); document.write( "the letter chosen first.\r\n" ); document.write( "Choose the 2nd letter any of 6 ways.\r\n" ); document.write( "There are only 5 ways to choose the 3rd letter, since you cannot repeat \r\n" ); document.write( "the letters chosen first or second.\r\n" ); document.write( "Choose the 3rd letter any of 5 ways.\r\n" ); document.write( "There are only 4 ways to choose the 4th letter, since you cannot repeat \r\n" ); document.write( "the letters chosen first, second or third.\r\n" ); document.write( "Choose the 4th letter any of 4 ways.\r\n" ); document.write( "\r\n" ); document.write( "7x6x5x4 = 840.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |