Two discrete time systems with impulse responses ht[n] = δ[n - 1] and h2[n] = δ[n - 2]  are connected in cascade. The overall impulse response of the cascaded system is

1
δ[n - 1] + δ[n - 2]
2
δ[n - 4]
3
δ[n - 3]
4
δ[n - 1]δ[n - 2]

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