document.write( "Question 1114331: How many different 5 digit numbers can be formed from the digit 1,2,3,4 and 5 if
\n" ); document.write( "(i). There are no restrictions on the digit and repetitions are allowed.
\n" ); document.write( "(ii). The number is odd and no repetition is allowed.
\n" ); document.write( "(iii).The number is even and reputation are allowed.
\n" ); document.write( "(iv). The number is greater than 50,000 and no repetitions are allowed.
\n" ); document.write( "

Algebra.Com's Answer #729294 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
How many different 5 digit numbers can be formed
\n" ); document.write( "from the digit 1,2,3,4 and 5 if \r
\n" ); document.write( "\n" ); document.write( "(i). They are no restrictions on the digit and repetitions are allowed.
Choose the 1st digit 5 ways.\r\n" );
document.write( "Choose the 2nd digit 5 ways.\r\n" );
document.write( "Choose the 3rd digit 5 ways.\r\n" );
document.write( "Choose the 4th digit 5 ways.\r\n" );
document.write( "Choose the 5th digit 5 ways.\r\n" );
document.write( "\r\n" );
document.write( "5×5×5×5×5 = 55 = 3125 ways
(ii). The number is odd and no repetitions are allowed.
Choose the 5th digit 3 ways.  (either 1,3, or 5)\r\n" );
document.write( "Choose the 1st digit 4 ways.\r\n" );
document.write( "Choose the 2nd digit 3 ways.\r\n" );
document.write( "Choose the 3rd digit 2 ways.\r\n" );
document.write( "Choose the 4th digit 1 way.\r\n" );
document.write( "\r\n" );
document.write( "3×4×3×2×1 = 72 ways
(iii).The number is even and reputations are allowed.
Choose the 5th digit 2 ways.  (either 2 or 4)\r\n" );
document.write( "Choose the 1st digit 5 ways.\r\n" );
document.write( "Choose the 2nd digit 5 ways.\r\n" );
document.write( "Choose the 3rd digit 5 ways.\r\n" );
document.write( "Choose the 4th digit 5 ways.\r\n" );
document.write( "\r\n" );
document.write( "2×5×5×5×5 = 2×54 = 1250 ways
(iv). The number is greater than 50 000 and no repetitions are allowed
Choose the 1st digit 1 way. (as 5)\r\n" );
document.write( "Choose the 2nd digit 4 ways.\r\n" );
document.write( "Choose the 3rd digit 3 ways.\r\n" );
document.write( "Choose the 4th digit 2 ways.\r\n" );
document.write( "Choose the 5th digit 1 way.\r\n" );
document.write( "\r\n" );
document.write( "1×4×3×2×1 = 60 ways\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );