document.write( "Question 1199982: A Mix-n-Match selection of 10 cookies is to be made from three varieties: oatmeal, peanut butter, and sugar. How many different selections are possible? \n" ); document.write( "

Algebra.Com's Answer #833975 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "It is the same as to ask\r\n" );
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document.write( "    |  how many solutions in integer non-negative numbers         |\r\n" );
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document.write( "    |  this equation does have   +  +  = 10.            |\r\n" );
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document.write( "The \"stars and bars\" method gives the answer: the number of solutions for this equation is\r\n" );
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document.write( "     =  =  =  =  = 6*11 = 66.    ANSWER\r\n" );
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document.write( "In this formula, n= 10, k = 3.\r\n" );
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\n" ); document.write( "\n" ); document.write( "For the stars and bars method see this Wikipedia article\r
\n" ); document.write( "\n" ); document.write( "https://en.wikipedia.org/wiki/Stars_and_bars_%28combinatorics%29\r
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\n" ); document.write( "\n" ); document.write( "See also the lesson\r
\n" ); document.write( "\n" ); document.write( " - Stars and bars method for Combinatorics problems \r
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