document.write( "Question 926467: How many different three-digit even numbers can be formed from the set of integers from 1 to 9 inclusive if no repetitions are allowed. \n" ); document.write( "

Algebra.Com's Answer #563190 by Edwin McCravy(20056) $\"\"$ $\"About$

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How many different three-digit even numbers can be formed from the set of integers from 1 to 9 inclusive if no repetitions are allowed.\r
\n" ); document.write( "\n" ); document.write( "If we could allow 0 to come first there would be \r
\n" ); document.write( "\n" ); document.write( "5 ways to choose the third digit. {0,2,4,6,8}
\n" ); document.write( "9 ways to choose the first digit.
\n" ); document.write( "8 ways to choose the second digit.\r
\n" ); document.write( "\n" ); document.write( "That's 5*9*8 = 360 ways\r
\n" ); document.write( "\n" ); document.write( "From that we must eliminate all those beginning with 0,
\n" ); document.write( "such as 098.\r
\n" ); document.write( "\n" ); document.write( "We can coose the last digit any of 4 ways {2,4,6,8}
\n" ); document.write( "We can choose the second digit any of 8 ways (not 0 nor
\n" ); document.write( "the digit chosen for the third digit.)\r
\n" ); document.write( "\n" ); document.write( "That's 4*8 or 32 to eliminate from the 360.\r
\n" ); document.write( "\n" ); document.write( "Answer: 360-32 = 328\r
\n" ); document.write( "\n" ); document.write( "Edwin \n" ); document.write( "

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