document.write( "Question 1152084: THREE research departments have 6,8, and 9 members, respectively. Each department is to select a delegate and an alternate to represent the department at a conference . In how many ways can this be done \n" ); document.write( "

Algebra.Com's Answer #774001 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "The first department can select his pair by 6*5 = 30 ways.\r\n" );
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document.write( "The second department can select his pair by 8*7 = 56 ways.\r\n" );
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document.write( "The third department can select his pair by 9*8 = 72 ways.\r\n" );
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document.write( "These selections are INDEPENDENT,  so the total number of ways is the product\r\n" );
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document.write( "    30*56*72 = 120960 different ways.    ANSWER\r\n" );
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document.write( "Notice that in this problem the order in pairs is IMPORTANT, because we distinct between the delegate and alternate.\r\n" );
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