document.write( "Question 46615This question is from textbook College Algebra by Blitzer
\n" ); document.write( ": What does the term \"compute\" mean in relation to a problem I have in which,there is the number \"7\" in an expontial form set to the lower front of a letter,in this case,a \"C\" and followed by the number \"2\",again in an expotinal form placed in a lower setting?\r
\n" ); document.write( "\n" ); document.write( "It looks somthing like example below:\r
\n" ); document.write( "\n" ); document.write( " C
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Algebra.Com's Answer #30887 by AnlytcPhil(1806)\"\" \"About 
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What does the term \"compute\" mean in relation to a problem I have \r\n" );
document.write( "in which, there is the number \"7\" in an expontial form set to the \r\n" );
document.write( "lower front of a letter,in this case,a \"C\" and followed by the \r\n" );
document.write( "number \"2\",again in an expotinal form placed in a lower setting?\r\n" );
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document.write( "It looks somthing like example below:\r\n" );
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document.write( "               7C2\r\n" );
document.write( "              \r\n" );
document.write( "That means: \r\n" );
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document.write( "\"The number of combinations that can be gotten from 7 things if\r\n" );
document.write( "you take 2 at a time\"\r\n" );
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document.write( "It asks this question:\r\n" );
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document.write( "How many possible sets of 2 things each can you make from a set\r\n" );
document.write( "of 7 things?\r\n" );
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document.write( "OR\r\n" );
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document.write( "If you have a set of 7 things, say {a,b,c,d,e,f,g}, then how many\r\n" );
document.write( "different sets of only 2 each can you make from the set of 7?\r\n" );
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document.write( "We can make all these sets of 2:\r\n" );
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document.write( " 1. {a,b} \r\n" );
document.write( " 2. {a,c}\r\n" );
document.write( " 3. {a,d}\r\n" );
document.write( " 4. {a,e}\r\n" );
document.write( " 5. {a,f}\r\n" );
document.write( " 6. {a,g}\r\n" );
document.write( " 7. {b,c}\r\n" );
document.write( " 8. {b,d}\r\n" );
document.write( " 9. {b,e}\r\n" );
document.write( "10. {b,f}\r\n" );
document.write( "11. {b,g}\r\n" );
document.write( "12. {c,d}\r\n" );
document.write( "13. {c,e}\r\n" );
document.write( "14. {c,f}\r\n" );
document.write( "15. (c,g}\r\n" );
document.write( "16. {d,e}\r\n" );
document.write( "17, {d,f}\r\n" );
document.write( "18. {d,g}\r\n" );
document.write( "19. {e,f}\r\n" );
document.write( "20. {e,g}\r\n" );
document.write( "21. {f,g}\r\n" );
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document.write( "So there are 21 in all. In general there are \r\n" );
document.write( "too many to list them all out like I did above, \r\n" );
document.write( "so there is a formula that gives the number \r\n" );
document.write( "without having to list them like the above.  It is\r\n" );
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document.write( "          n!   \r\n" );
document.write( "nCr = ----------\r\n" );
document.write( "       r!(n-r)!\r\n" );
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document.write( "In the case where the big set has 7 and you\r\n" );
document.write( "want to make little sets of 2, instead of\r\n" );
document.write( "listing them all, you just calculate:\r\n" );
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document.write( "          7!\r\n" );
document.write( "7C2  = -------- =\r\n" );
document.write( "       2!(7-2)!\r\n" );
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document.write( "The exclamation point means to multiply the\r\n" );
document.write( "number before it by all positive integer\r\n" );
document.write( "factors below it (it's called \"factorial\"):\r\n" );
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document.write( " 7!\r\n" );
document.write( "---- =\r\n" );
document.write( "2!5!\r\n" );
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document.write( " 7·6·5·4·3·2·1\r\n" );
document.write( "---------------- =\r\n" );
document.write( "(2·1)(5·4·3·2·1)\r\n" );
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document.write( "   \r\n" );
document.write( "Cancel like factors in the\r\n" );
document.write( "top and bottom\r\n" );
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document.write( "   3 1 1 1 1 1\r\n" );
document.write( " 7·6·5·4·3·2·1\r\n" );
document.write( "---------------- =\r\n" );
document.write( "(2·1)(5·4·3·2·1)\r\n" );
document.write( " 1    1 1 1 1 1\r\n" );
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document.write( "7·3 = 21\r\n" );
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document.write( "So we can get that there are 21 combinations possible\r\n" );
document.write( "when 7 things are taken 2 at a time.\r\n" );
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document.write( "Edwin
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