document.write( "Question 1183744: Given the equation x + y + z = 15, how many different solutions are possible \r
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document.write( "(i) If x, y, and z are positive integers?\r
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document.write( "(ii) If x, y, and z are non-negative integers? \n" );
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Algebra.Com's Answer #814190 by ikleyn(52803)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Given the equation x + y + z = 15, how many different solutions are possible \n" ); document.write( "(a) If x, y, and z are positive integers? \n" ); document.write( "(b) If x, y, and z are non-negative integers? \n" ); document.write( "~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This problem is on \"Stars and bars method\".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "See this Wikipedia article \n" ); document.write( "https://en.wikipedia.org/wiki/Stars_and_bars_(combinatorics)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "or my lesson \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Stars and bars method for Combinatorics problems \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/Permutations/Stars-and-bars-method-for-Combinatorics-problems-2.lesson\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "(a) The number of different solutions is\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |