Can I factor a binomial coefficient out from an equation?

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By the distributive property, if I'm given the equation XY + XZ

I can factor this to X(Y +Z).

I'm wondering if I could apply this same property to a binomial coefficient,

e.g., I'm given nCr(n, X) * Y + nCr(n, X) * Z

Could i factor this to nCr(n, X) * (Y + Z)

This is assuming that the value of n and X are the same respectively between the two binomial coefficients. Any help is appreciated, thank you.