document.write( "Question 1096183: How many ways can a school organization officers consisting of a president, a vice-president, a secretary, and a treasurer be formed from 6 males and 7 females, if;
\n" ); document.write( "a. Any of them is qualified to any position.
\n" ); document.write( "b. The president must be a male.
\n" ); document.write( "c. The president and the vice president must be a male and female respectively?
\n" ); document.write( "d. The president must be a female but three particular females do not want to be included in the set of officers. \n" ); document.write( "
Algebra.Com's Answer #710681 by Edwin McCravy(20055)\"\" \"About 
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How many ways can a school organization officers consisting of a president, a vice-president, a secretary, and a treasurer be formed from 6 males and 7 females, if;
\n" ); document.write( "a. Any of them is qualified to any position.
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document.write( "Choose the president as any of the 13 people.\r\n" );
document.write( "Choose the vice-president as any of the 12 remaining people.\r\n" );
document.write( "Choose the secretary as any of the 11 remaining people. \r\n" );
document.write( "Choose the treasurer as any of the 10 remaining people.\r\n" );
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document.write( "13×12×11×10 = 13P4 = 17160\r\n" );
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\n" ); document.write( "b. The president must be a male.
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document.write( "Choose the president as any of the 6 males.\r\n" );
document.write( "Choose the vice-president as any of the 12 remaining people.\r\n" );
document.write( "Choose the secretary as any of the 11 remaining people. \r\n" );
document.write( "Choose the treasurer as any of the 10 remaining people.\r\n" );
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document.write( "6×12×11×10 = 6×12P3 = 7920\r\n" );
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\n" ); document.write( "c. The president and the vice president must be a male and female respectively?
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\r\n" );
document.write( "Choose the president as any of the 6 males.\r\n" );
document.write( "Choose the vice-president as any of the 7 females.\r\n" );
document.write( "Choose the secretary as any of the 11 remaining people. \r\n" );
document.write( "Choose the treasurer as any of the 10 remaining people.\r\n" );
document.write( "\r\n" );
document.write( "6×7×11×10 = 6×7×11P2 = 4620\r\n" );
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\n" ); document.write( "d. The president must be a female but three particular females do not want to be included in the set of officers.
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document.write( "That's 6 males and only 4 females, since 3 females aren't considered.\r\n" );
document.write( "That's 10 people to choose from.\r\n" );
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document.write( "Choose the president as any of the 4 females.\r\n" );
document.write( "Choose the vice-president as any of the 9 remaining people.\r\n" );
document.write( "Choose the secretary as any of the 8 remaining people. \r\n" );
document.write( "Choose the treasurer as any of the 7 remaining people.\r\n" );
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document.write( "4×9×8×7 = 4×9P3 = 2016\r\n" );
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document.write( "Edwin
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