document.write( "Question 1136226: The number of positive integral solution of abc=30 is \n" ); document.write( "

Algebra.Com's Answer #753997 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"abc+=30\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"30=+2%2A3%2A5\"$ \r
\n" ); document.write( "\n" ); document.write( "So, we have $\"three\"$ different numbers to distribute into three boxes ( $\"a\"$ , $\"b\"$ , $\"c\"$ ). \r
\n" ); document.write( "\n" ); document.write( "the number of ways of distributing the $\"2\"$ into the three boxes must be $\"highlight%283%29\"$ ways
\n" ); document.write( "the number of ways of distributing the $\"3\"$ into the three boxes must be $\"highlight%283%29\"$ ways
\n" ); document.write( "the number of ways of distributing the $\"5\"$ into the three boxes must be $\"highlight%283%29\"$ ways\r
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\n" ); document.write( "\n" ); document.write( "So, we have a total of $\"highlight%283%2A3%2A3%29=27\"$ ways of distributing.\r
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