document.write( "Question 438433: how many three digit numbers have the sum of their digits equal to 22? \n" ); document.write( "

Algebra.Com's Answer #303200 by josmiceli(19441) $\"\"$ $\"About$

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(1)
\n" ); document.write( "None of the digits can be $\"3\"$ , $\"2\"$ , or $\"1\"$ , since
\n" ); document.write( "the sum of any arrangement of $\"399\"$ is too small $\"3+%2B+9+%2B+9+=+21\"$
\n" ); document.write( "What is left is all possible arrangements of:
\n" ); document.write( "994
\n" ); document.write( "985
\n" ); document.write( "976
\n" ); document.write( "886
\n" ); document.write( "877
\n" ); document.write( "----
\n" ); document.write( "The arrangements are:
\n" ); document.write( "994
\n" ); document.write( "949
\n" ); document.write( "499 - 3 possible
\n" ); document.write( "---
\n" ); document.write( "985
\n" ); document.write( "958
\n" ); document.write( "895
\n" ); document.write( "859
\n" ); document.write( "598
\n" ); document.write( "589 - 6 possible
\n" ); document.write( "---
\n" ); document.write( "976 - 6 possible
\n" ); document.write( "886 - 3 possible
\n" ); document.write( "877 - 3 possible
\n" ); document.write( "--------------
\n" ); document.write( "There are 21 3-digit numbers whose digits add up to 22\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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