Falling and rising factorials - Wikipedia

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A frog jumps from the floor of an n-steps stair to the top of the stairs in k jumps, where k<=n.In how many different ways can the frog reach the top of

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Falling and rising factorials - Wikipedia

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Falling and rising factorials - Wikipedia

I had a question on a test, where I was supposed to subtract combinations in forms n choose k (binomial coefficients), the answers were also in forms n choose k, is there