document.write( "Question 698254: how many different 12-member juries can be made from 15 people \n" ); document.write( "

Algebra.Com's Answer #430775 by Positive_EV(69) $\"\"$ $\"About$

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This problem can be solved using a combination (Use a combination instead of a permutation because the order the members are selected does not matter). The formula for a combination is
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\n" ); document.write( "\n" ); document.write( " $\"nCk+=+n%21%2F%28k%21%2A%28n-k%21%29%29\"$ , where n is the number of possible objects to select from and k is the number of objects to select. Here, n = 15, and k = 12.
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\n" ); document.write( "\n" ); document.write( " $\"15C12+=+15%21%2F%2812%21%2A%2815-12%21%29%29\"$
\n" ); document.write( " $\"15C12+=+15%21%2F%2812%21%2A%283%21%29%29\"$
\n" ); document.write( " $\"15C12+=+%2815%2A14%2A13%29%2F%283%2A2%2A1%29+=+455\"$
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\n" ); document.write( "\n" ); document.write( "So, there are 455 possible juries that can be selected. \n" ); document.write( "

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