document.write( "Question 629155: A group of 4 teachers,9 truckers, and 11 lawyers are going to form a committee of 2. How many different ways can the committee be formed with people from different professions? \n" ); document.write( "

Algebra.Com's Answer #396055 by Edwin McCravy(20055) $\"\"$ $\"About$

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A group of 4 teachers,9 truckers, and 11 lawyers are going to form a committee of 2. How many different ways can the committee be formed with people from different professions?
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document.write( "We must break this into three cases:\r\n" );
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document.write( "1.  A teacher and a trucker\r\n" );
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document.write( "4 ways to choose the teacher times 9 ways to \r\n" );
document.write( "choose the trucker = 4×9 = 36 ways.\r\n" );
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document.write( "2.  A teacher and a lawyer\r\n" );
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document.write( "4 ways to choose the teacher times 11 ways to \r\n" );
document.write( "choose the lawyer = 4×11 = 44 ways.\r\n" );
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document.write( "3.  A trucker and a lawyer\r\n" );
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document.write( "9 ways to choose the trucker times 11 ways to \r\n" );
document.write( "choose the lawyer = 9×11 = 99 ways.\r\n" );
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document.write( "Total number of ways:  36 + 44 + 99 = 179 ways.\r\n" );
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document.write( "Edwin

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