document.write( "Question 162584: can someone help please\r
\n" ); document.write( "\n" ); document.write( "Use the multiplication principle to solve the problem.\r
\n" ); document.write( "\n" ); document.write( "How many different 5-digit sequences can be formed using the digits 0,1, ...7 if repetition of digits is allowed?\r
\n" ); document.write( "\n" ); document.write( "a. 16,807
\n" ); document.write( "b. 120
\n" ); document.write( "c. 35
\n" ); document.write( "d. 32,768 \n" ); document.write( "
Algebra.Com's Answer #119854 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "0,1,2,3,4,5,6,7 consists of 8 different digits.\r\n" );
document.write( "\r\n" );
document.write( "Let's take a randomly selected sample 5-digit sequence:\r\n" );
document.write( "\r\n" );
document.write( "67062\r\n" );
document.write( "\r\n" );
document.write( "How many choices of digits are there to go where the \r\n" );
document.write( "first 6 in that sample 67062 is?  Answer: 8\r\n" );
document.write( "\r\n" );
document.write( "How many choices of digits are there to go where the \r\n" );
document.write( "7 in that sample 67062 is?  Answer: 8\r\n" );
document.write( "\r\n" );
document.write( "How many choices of digits are there to go where the \r\n" );
document.write( "0 in that sample 67062 is?  Answer: 8\r\n" );
document.write( "\r\n" );
document.write( "How many choices of digits are there to go where the \r\n" );
document.write( "second 6 in that sample 67062 is?  Answer: 8\r\n" );
document.write( "\r\n" );
document.write( "How many choices of digits are there to go where the \r\n" );
document.write( "2 in that sample 67062 is?  Answer: 8\r\n" );
document.write( "\r\n" );
document.write( "So that's 8x8x8x8x8 = 32,768 ways.  Choice (d).\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );