document.write( "Question 1058256: The digits 2, 3, 4, 5, 6, and 7 are randomly arranged to form a three-digit number. (Digits are not repeated.) Find the probability that the number is even and greater than 700. \n" ); document.write( "
Algebra.Com's Answer #673299 by solve_for_x(190)![]() ![]() ![]() You can put this solution on YOUR website! Since the number must be greater than 700, there is only one choice for the first digit: 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since the number must be even, there are only 3 choices for the last digit: 2, 4, 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And since there are no repeated digits, there are only 4 choices for the middle digit (cannot be 7, or the same as the last digit).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The total number of possible arrangements is then 1 * 4 * 3 = 12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The possibilities are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "724 \n" ); document.write( "726 \n" ); document.write( "732 \n" ); document.write( "734 \n" ); document.write( "736 \n" ); document.write( "742 \n" ); document.write( "746 \n" ); document.write( "752 \n" ); document.write( "754 \n" ); document.write( "756 \n" ); document.write( "762 \n" ); document.write( "764 \n" ); document.write( " \n" ); document.write( " |