Monday, 30 June 2014

number theory - In how many solutions of equation : x1+x2+...+xn=m

In how many solutions of equation: x1+x2+...+xn=m satisfied: xiN(i=¯1,n),1xi26,nm26n,mN




This is my try:
Let ti=xi1ni=1ti=ni=1xin=mn, where 0ti25.
And I don't know how to solve it when 0ti25.


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