document.write( "Question 899713: \n" ); document.write( "
Algebra.Com's Answer #545972 by Edwin McCravy(20056)\"\" \"About 
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How many committees of 1,2,3,4,5,6,7, or 8 members can be taken
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document.write( "Suppose the 8 section presidents are A,B,C,D,E,F,G, and H\r\n" );
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document.write( "When choosing members for the committee,\r\n" );
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document.write( "there are 2 choices to make about A.  They are:\r\n" );
document.write( "1. choose A to be in the committee. 2. exclude A from the committee,\r\n" );
document.write( "That's 2 choices we can make for A.\r\n" );
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document.write( "there are 2 choices to make about B.  They are:\r\n" );
document.write( "1. choose B to be in the committee. 2. exclude B from the committee,\r\n" );
document.write( "That's 2*2 or 22 = 4 choices we can make for A and B.\r\n" );
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document.write( "there are 2 choices to make about C.  They are:\r\n" );
document.write( "1. choose C to be in the committee. 2. exclude C from the committee,\r\n" );
document.write( "That's 2*2*2 or 23 = 8 choices we can make for A,B, or C.\r\n" );
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document.write( "...\r\n" );
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document.write( "there are 2 choices to make about H.  They are:\r\n" );
document.write( "1. choose H to be in the committee, 2. exclude H from the committee,\r\n" );
document.write( "That's 2*2*2*2*2*2*2 or 28 = 256 choices we can make for \r\n" );
document.write( "A,B,C,D,E,F,G, and H.\r\n" );
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document.write( "However, from the 256 we must subtract 1 way and that is the one way\r\n" );
document.write( "in which we exclude all 8, for there would be no committee!\r\n" );
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document.write( "Answer:  256-1 = 265 ways to choose a committee.\r\n" );
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document.write( "Edwuin
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