document.write( "Question 1190905: MAT 145: Topics In Contemporary Math
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document.write( " Permutations and Combinations\r
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document.write( "3. How many different executive committees (president, vice president, secretary, and treasurer) can be formed from the 20 members in a fraternity? \n" );
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Algebra.Com's Answer #822663 by ikleyn(52802)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "In this problem, each committee is an ordered quadruple of persons, according to their positions.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Therefore, we apply the formula for PERMUTATIONS.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The number of all possible different committees is 20*19*18*17 = 116280. ANSWER\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |