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One definition for the binomial coefficient (n choose k) is C(n,k)=C(n-1,k-1)+C(n-1,k) with C(n,0) = 1 and C(n,n). What physical analogy could we use to explain

One definition for the binomial coefficient ("n choose k") is C(n,k)=C(n-1,k-1)+C(n-1,k) with C(n,0) = 1 and C(n,n). What physical analogy could we use to explain that definition?

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