A matchbox tray slides into its outer cover. In how many different ways can you do this?

-- Slide end-A of the tray, right-side-up, into end-A of the cover. (0 0 0) -- Slide end-A of the tray, right-side-up, into end-B of the cover. (0 0 1) -- Slide end-A of the tray, upside-down, into end-A of the cover. (0 1 0) -- Slide end-A of the tray, upside-down, into end-B of the cover. (0 1 1) -- Slide end-B of the tray, right-side-up, into end-A of the cover. (1 0 0) -- Slide end-B of the tray, right-side-up, into end-B of the cover. (1 0 1) -- Slide end-B of the tray, upside-down, into end-A of the cover. (1 1 0) -- Slide end-B of the tray, upside-down, into end-B of the cover. (1 1 1)

Answered by AL2006 | 2024-06-10

There are 8 different ways to slide a matchbox tray into its outer cover. This is calculated by considering 2 ends of the tray, each with 2 orientations, and each end can slide into 2 sides of the cover. The total number of combinations is 2 (ends) × 2 (orientations) × 2 (ends of cover) = 8.
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Answered by AL2006 | 2024-12-24