document.write( "Question 897333: In how many ways three integers be selected from integers 1,2,3,...30, so that there sum is even. \n" ); document.write( "
Algebra.Com's Answer #544119 by Fombitz(32388)\"\" \"About 
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Look at the possible combinations of evens and odds.
\n" ); document.write( "Even+Even=Even
\n" ); document.write( "Even+Odd=Odd
\n" ); document.write( "Odd+Odd=Even
\n" ); document.write( "So then
\n" ); document.write( "(Even+Even)+Even=Even
\n" ); document.write( "(Even+Odd)+Odd=Even
\n" ); document.write( "while
\n" ); document.write( "(Even+Even)+Odd=Odd
\n" ); document.write( "(Even+Odd)+Even=Odd
\n" ); document.write( "So then choose 3 even numbers or 1 even and 2 odds to get an even sum.\r
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