document.write( "Question 875414: A class has 15 girls and 19 boys. A committee is formed with two girls and two boys, each with a distinct responsibility. Determine whether this situation involves a permutation or a combination. Then determine the number of possible arrangements. \n" ); document.write( "
Algebra.Com's Answer #528158 by jim_thompson5910(35256)\"\" \"About 
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Keyword to look out for: distinct\r
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\n" ); document.write( "\n" ); document.write( "Since each person has a \"distinct responsibility\" this means order matters. If you were to alter the order, then the two people would have different responsibilities.\r
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\n" ); document.write( "\n" ); document.write( "So we're using a permutation.\r
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\n" ); document.write( "\n" ); document.write( "There are 15 P 2 = (15!)/(15-2)! = (15*14*13!)/(13!) = 15*14 = 210 different ways to pick 2 girls (order matters).\r
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\n" ); document.write( "\n" ); document.write( "There are 19 P 2 = (19!)/(19-2)! = (19*18*17!)/(17!) = 19*18 = 342 different ways to pick 2 boys (order matters).\r
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\n" ); document.write( "\n" ); document.write( "There are 210*342 = 71,820 ways to form this committee. \n" ); document.write( "
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