Question: For this problem suppose that the x i 's must be non-negative integers, i.e., x i {0, 1, 2,} for i = 1, 2,

For this problem suppose that the x_i's must be non-negative integers, i.e., x_i ∈ {0, 1, 2,⋯} for i = 1, 2, 3. How many distinct solutions does the following equation have such that at least one of the x_i's is larger than 40?

x1 + x2 + x3 = 100

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