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Find how many solutions there are, in non-negative integers a, b, c, d and e, to the equation a + b + c + d

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Find how many solutions there are, in non-negative integers a, b, c, d and e, to the equation a + b + c + d + e = 100 with the restrictions that a lessthanorequalto 10, c greaterthanorequalto 20 and 30 lessthanorequalto e lessthanorequalto 45

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