document.write( "Question 1116175: How many three digit numbers can be formed from the set 0-9 if repetition are allowed and the number must be
\n" ); document.write( "a) even
\n" ); document.write( "b) divisible by 5?
\n" ); document.write( "c)divisible by 10?
\n" ); document.write( "

Algebra.Com's Answer #731019 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
How many three digit numbers can be formed from the set 0-9 if repetition are allowed and the number must be
\n" ); document.write( "a) even
\n" ); document.write( "
\r\n" );
document.write( "Choose the first digit as any of these 9 ways: {1,2,3,4,5,6,7,8,9}\r\n" );
document.write( "Choose the second digit as any of these 10 ways: {0,1,2,3,4,5,6,7,8,9}\r\n" );
document.write( "Choose the third digit as any of these 5 ways: {0,2,4,6,8}\r\n" );
document.write( "\r\n" );
document.write( "Answer: 9×10×5 = 450 ways.\r\n" );
document.write( "

\n" ); document.write( "b) divisible by 5?
\n" ); document.write( "
\r\n" );
document.write( "Choose the first digit as any of these 9 ways: {1,2,3,4,5,6,7,8,9}\r\n" );
document.write( "Choose the second digit as any of these 10 ways: {0,1,2,3,4,5,6,7,8,9}\r\n" );
document.write( "Choose the third digit as either of these 2 ways: {0,5}\r\n" );
document.write( "\r\n" );
document.write( "Answer: 9×10×2 = 180 ways.\r\n" );
document.write( "

\n" ); document.write( "c)divisible by 10?
\n" ); document.write( "
\r\n" );
document.write( "Choose the first digit as any of these 9 ways: {1,2,3,4,5,6,7,8,9}\r\n" );
document.write( "Choose the second digit as any of these 10 ways: {0,1,2,3,4,5,6,7,8,9}\r\n" );
document.write( "Choose the third digit as this 1 way: {0}\r\n" );
document.write( "\r\n" );
document.write( "Answer: 9×10×1 = 90 ways.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );