document.write( "Question 1002206: given 4 distinct objects, if 2 objects are taken at the time, the possible number combinations is equal 2. True or false?
\n" ); document.write( "*note: I used the combination formula nCr and I got 2. So \"False.\" Just wanted to be sure if it was the right application I made. Thank you
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Algebra.Com's Answer #619241 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
nCr formula is n! / (r! * (n-r)!\r
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\n" ); document.write( "\n" ); document.write( "4C2 formula becomes 4! / (2! * (4-2)! which becomes 4! / (2! * 2!) which becomes (4*3*2!) / (2!*2!) which becomes (4*3)/2! which becomes 6.\r
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\n" ); document.write( "\n" ); document.write( "your answer should have been 6.\r
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\n" ); document.write( "\n" ); document.write( "let the 4 distinct objects be a, b, c, d\r
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\n" ); document.write( "\n" ); document.write( "the possible combinations, taken 2 at a time, are:\r
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\n" ); document.write( "\n" ); document.write( "ab
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\n" ); document.write( "\n" ); document.write( "that's 6 possible combinations.\r
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\n" ); document.write( "\n" ); document.write( "you used the correct formula, but you must have applied it wrong, or you explained it wrong.\r
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\n" ); document.write( "\n" ); document.write( "4C2 = 4! / (2! * 2!) = (4*3*2*1) / (2*1*2*1)\r
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\n" ); document.write( "\n" ); document.write( "get rid of the 1's because they don't add anything to it, and you get:\r
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\n" ); document.write( "\n" ); document.write( "4C2 = (4*3*2) / (2*2) which becomes (4*3*2) / 4 which becomes 3*2 = 6\r
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\n" ); document.write( "\n" ); document.write( "false is the correct answer because 6 is not equal to 2.\r
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\n" ); document.write( "\n" ); document.write( "your last statement, however, doesn't make sense because you say:\r
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\n" ); document.write( "\n" ); document.write( "*note: I used the combination formula nCr and I got 2. So \"False.\" Just wanted to be sure if it was the right application I made. Thank you \r
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\n" ); document.write( "\n" ); document.write( "if you got 2, then you should have said true.\r
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\n" ); document.write( "\n" ); document.write( "perhaps you meant you didn't get 2?\r
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\n" ); document.write( "\n" ); document.write( "you got the answer right but your explanation was confusing.\r
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