document.write( "Question 1049339: There are 9! ways to arrange the digits 1-9 to form a 9-digit number. If you know this, then if you wrote all 9! possibilities on cards (1 way per card), and asked your friend to select one at random; what is the probability that the number he/she selected is prime? \n" ); document.write( "

Algebra.Com's Answer #664948 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "There are 9! ways to arrange the digits 1-9 to form a 9-digit number. If you know this, then if you wrote all 9! possibilities on cards
\n" ); document.write( "(1 way per card), and asked your friend to select one at random; what is the probability that the number he/she selected is prime?
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\n" ); document.write( "\n" ); document.write( "The probability is 0 (zero).\r
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document.write( "All these numbers (all and each of 9! numbers) are divisible by 3.\r\n" );
document.write( "Each is a multiple of 3.\r\n" );
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document.write( "Apply the divisibility rule by 3.\r\n" );
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document.write( "The sum of all digits in each of these 9-digit numbers is\r\n" );
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document.write( "1 + 2 + 3 + . . . + 9 =  = 45 \r\n" );
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document.write( "is divided by 3.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Thank you for this joke problem.\r
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\n" ); document.write( "\n" ); document.write( "Good entertainment !\r
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\n" ); document.write( "\n" ); document.write( "For divisibility rules see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Divisibility by 2 rule,\r
\n" ); document.write( "\n" ); document.write( "    - Divisibility by 3 rule,\r
\n" ); document.write( "\n" ); document.write( "    - Divisibility by 4 rule,\r
\n" ); document.write( "\n" ); document.write( "    - Divisibility by 5 rule,\r
\n" ); document.write( "\n" ); document.write( "    - Divisibility by 6 rule,\r
\n" ); document.write( "\n" ); document.write( "    - Divisibility by 9 rule,\r
\n" ); document.write( "\n" ); document.write( "    - Divisibility by 10 rule,\r
\n" ); document.write( "\n" ); document.write( "    - Divisibility by 11 rule, \r
\n" ); document.write( "\n" ); document.write( "    - Restore the omitted digit in a number in a way that the number is divisible by 9 and\r
\n" ); document.write( "\n" ); document.write( "    - Restore the omitted digit in a number in a way that the number is divisible by 11.\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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