Find the number of integer solutions of the equation

Mathematics
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Find the number of integer solutions of the equation n1+n2+n3+n4=153

with n1>=10, n2>=20, n3>=30, n4>=40

Dec 25th, 2014

Since ensuring minimum 10,20,30,40 yielding sum of 100, 

the new n1,n2,n3,n4 will satisfy

n1+n2+n3+n4 = 53

This can be done in (53+4-1)C(4-1) = 56C3 = 56*55*54/6 = 56*55*9= 27720 Using Bose Einstein Statistics


Dec 25th, 2014

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