document.write( "Question 1195198: Consider the numbers 0,2,5,6. How many two-digit numbers can be formed without repetition, such that.
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document.write( "a): all are even?
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document.write( "b): all are greater than 60? \n" );
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Algebra.Com's Answer #827610 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Consider the numbers 0,2,5,6. How many two-digit numbers can be formed without repetition, such that. \n" ); document.write( "a) all are even? \n" ); document.write( "b) all are greater than 60? \n" ); document.write( "~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " (a) all are even ?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Even number must have last digit 0, or 2, or 6.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "If the last digit is 0, then the first digit can be any of 2, 5, 6. It gives 3 numbers.\r\n" ); document.write( "\r\n" ); document.write( "If the last digit is 2, then the first digit can be 5 or 6, giving 2 numbers.\r\n" ); document.write( "\r\n" ); document.write( "If the last digit is 6, then the first digit can be 2 or 5, giving 2 numbers.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In all, there are 3 + 2 + 2 = 7 two-digit even numbers of this kind.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " (b) all are greater than 60 ?\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "There are only two such numbers. They are 62 and 65.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |