document.write( "Question 1081075: Please help i am kinda confused.'
\n" ); document.write( "5. At Grant senior high school, there are 15 names on the ballot for the junior class officers.Five will be selected to form a class committee?\r
\n" ); document.write( "\n" ); document.write( "c. If there are 8 girls and 7 boys on the ballot, how many committee of boys and 3 girls can be formed?
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Algebra.Com's Answer #695158 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "a. \r
\n" ); document.write( "\n" ); document.write( "How many different committees of \"5\" can be formed?
\n" ); document.write( "Order is not important in this situation, so the selection is a combination of
\n" ); document.write( "\"15\" people chosen \"5\" at a time.\r
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "\n" ); document.write( "There are \"3003\" different ways to form the committees of \"5\".\r
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\n" ); document.write( "\n" ); document.write( "b.
\n" ); document.write( "Order has to be considered in this situation because each committee
\n" ); document.write( "member has a different responsibility.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "There are \"360360\" possible committees.\r
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\n" ); document.write( "\n" ); document.write( "c.
\n" ); document.write( "Order is not important. There are three questions to consider.
\n" ); document.write( "How many ways can \"2\" boys be chosen from \"7\"?
\n" ); document.write( "How many ways can \"3\" girls be chosen from \"8\"?\r
\n" ); document.write( "\n" ); document.write( "Then, how many ways can \"2\" boys and \"3\" girls be chosen together?
\n" ); document.write( "Since the events are independent, the answer is the product of the combinations
\n" ); document.write( "\"C%287%2C+2%29\" and \"C%288%2C+3%29\".\r
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "\n" ); document.write( "There are \"1176\" possible committees.\r
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