document.write( "Question 1195198: 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( "

Algebra.Com's Answer #827610 by ikleyn(52781)\"\" \"About 
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( "
\n" );