Question: How many integer solutions are there to the equation: a + b + 2c + d + e = 72 when (a) the variables are

How many integer solutions are there to the equation:

a + b + 2c + d + e = 72

when

(a) the variables are greater than or equal to 0

(b) the variables are greater than or equal to 1

without the 2 before c the solution would be 76 choose 72.

But I'm not sure about when the 2 is added

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