How many monomials are there that contain letters a, B, C and the coefficient is 1

Let a, B, C be x, y, Z respectively, then x + y + Z = 7 and X, y, Z must be greater than or equal to 1
There seems to be no easy algorithm for this problem
If x = 1, there are five cases
There are four kinds of x = 2, and the maximum of X can be 5 (5 + 1 + 1 = 7)
By analogy, 5 + 4 + 3 + 2 + 1 = 15
Do you understand?

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