document.write( "Question 1135938: how many positive odd numbers can be formed from the digits 2,3,4,5,6 if no digit is to be repeated in a given number
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document.write( "48
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document.write( "120
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document.write( "130
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document.write( "None \n" );
document.write( "
Algebra.Com's Answer #753681 by math_helper(2461)![]() ![]() You can put this solution on YOUR website! 130 \n" ); document.write( "The answer assumes you can have one, two, three, four, or five digit numbers. \n" ); document.write( "---\r \n" ); document.write( "\n" ); document.write( "For one digit numbers: 3 and 5 ---> 2 numbers\r \n" ); document.write( "\n" ); document.write( "Two digit numbers: 4C1 * 2 ---> 8 numbers (breakdown: 4C1 is the number of ways of choosing, say, one of {2,3,4,5} for two digit numbers ending with 3, double that for the 5 replacing the ending value (3 & 5 swapped)).\r \n" ); document.write( "\n" ); document.write( "Three digit numbers: 4C2 * 2! * 2 --> 24 numbers \n" ); document.write( "Four digit numbers: 4C3 * 3! * 2 --> 48 numbers \n" ); document.write( "Five digit numbers: 4C4 * 4! * 2 --> 48 numbers\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2+8+24+48+48 = 130\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |