document.write( "Question 1069247: The digits 1,2,3,4, and 5 are to be used to form five-digit numbers. How many different number can be formed if (1).repetitions are permitted (2) The number must be odd and repetitions are not allowed (3) the number must be greater than 30,000 and repetition is not allowed. \n" ); document.write( "
Algebra.Com's Answer #684453 by Edwin McCravy(20060)\"\" \"About 
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The digits 1,2,3,4, and 5 are to be used to form five-digit numbers.
\n" ); document.write( "How many different number can be formed if \r
\n" ); document.write( "\n" ); document.write( "(1).repetitions are permitted
Choose the first digit any of the 5 ways.\r\n" );
document.write( "Choose the second digit any of the 5 ways.\r\n" );
document.write( "Choose the third digit any of the 5 ways.\r\n" );
document.write( "Choose the fourth digit any of the 5 ways.\r\n" );
document.write( "Choose the fifth digit any of the 5 ways.\r\n" );
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document.write( "Answer (5)(5)(5)(5)(5) = 55 = 3125 ways.
(2) The number must be odd and repetitions are not allowed
Choose the fifth digit any of these 3 ways:  1, 3 or 5.\r\n" );
document.write( "Choose the first digit any of the remaining 4 ways.\r\n" );
document.write( "Choose the second digit any of the remaining 3 ways.\r\n" );
document.write( "Choose the third digit either of the remaining 2 ways.\r\n" );
document.write( "Choose the fourth digit the only remaining 1 way.\r\n" );
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document.write( "Answer (3)(4)(3)(2)(1) = 72 ways.
(3) the number must be greater than 30,000 and repetition is not allowed.
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document.write( "Choose the first digit any of these 3 ways:  3, 4, or 5.\r\n" );
document.write( "Choose the second digit any of the remaining 4 ways.\r\n" );
document.write( "Choose the third digit any of the remaining 3 ways.\r\n" );
document.write( "Choose the fourth digit either of the remaining 2 ways.\r\n" );
document.write( "Choose the fifth digit the only remaining 1 way.\r\n" );
document.write( "\r\n" );
document.write( "Answer (3)(4)(3)(2)(1) = 72 ways.\r\n" );
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document.write( "Edwin
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