Mathematics · Functions

Let Y = {1, 2, 3, ..., 100} and let h : Y → Y be a strictly increasing function. The total number of functions g : Y → Y satisfying g(h(j)) = h(g(j)), ∀ j ∈ Y is:

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Let Y = {1, 2, 3, ..., 100} and let h : Y &rarr; Y be a strictly increasing function. The total number of functions g : Y &rarr; Y satisfying g(h(j)) = h(g(j)), &forall; j &isin; Y is: