How many solutions are there to the equation
x1+x2+x3+x4+x5=21,
where xi, i=1,2,3,4,5, is a nonnegative integer such that
a)x1>=1?
b)xi>=2, for i=1,2,3,4,5?
c)0<=x1<=10?
d)0<=x1<=3, 1<=x2<4, and x3>=15?
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