document.write( "Question 341008: How many four-digit odd integers greater than 6000 can be formed from the digits 0,1,3,5,6 and 8, if no digit can be used more than once? \n" ); document.write( "
Algebra.Com's Answer #250859 by sudhanshu_kmr(1152)![]() ![]() You can put this solution on YOUR website! Digits are 0,1,3,5,6,8\r \n" ); document.write( "\n" ); document.write( " we have to fill four places ABCD, D is unit digit, B is tenth digit and so on..\r \n" ); document.write( "\n" ); document.write( " number must be greater than 6000 so, \r \n" ); document.write( "\n" ); document.write( "no. of ways to fill position of A is 2 (6 or 8) \r \n" ); document.write( "\n" ); document.write( "case 1: when 6 is at A (first digit) \n" ); document.write( " \n" ); document.write( " no. of ways to fill the position D = 3 (1,3 or 5) \n" ); document.write( " no. of ways to fill the position B = 4 (only 4 digit remaining) \n" ); document.write( " no. of ways to fill the position c= 2 (only 3 digit ) \n" ); document.write( " \n" ); document.write( " total no. of ways to form odd integer starting from 6 = 3*4*2= 24\r \n" ); document.write( "\n" ); document.write( "case 2: when 8 is at A (first digit) \n" ); document.write( " \n" ); document.write( " similarly, no. of ways to fill the position D = 3 \n" ); document.write( " no. of ways to fill the position B = 4 \n" ); document.write( " no. of ways to fill the position C = 3\r \n" ); document.write( "\n" ); document.write( " total no. of ways to form odd integer starting from 8 = 3*4*2 =24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " total no. of four digit odd integers greater than 6000 = 24+24 = 48 \n" ); document.write( " |