How to calculate the number of elements in the sample space which is too large?

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I cannot make an intuitive sense of a shortcut to calculate the sample space but my answer was 720.

In the first gap, we need a model; second gap, a Luxury Level; and third gap, a colour. Also, I think it's fairly safe to assume that $$M_1L_2C_3$$ is the same as $$L_2C_3M_1$$ so there's no complication there.
This leads to the number of elemnets in the sample space being $$4\times 3 \times 6=72$$