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Question Number 5539 by Rasheed Soomro last updated on 19/May/16

$$\mathrm{How}\mathrm{many}\mathbf{planes}\mathrm{can}\mathrm{pass}\mathrm{through}$$$$\mathbf{vertices}\mathrm{of}\mathrm{a}\mathbf{cube},$$$$a)\mathrm{when}\mathrm{each}\mathrm{plane}\mathrm{contains}\mathbf{at}\mathbf{least}$$$$\mathbf{three}\mathbf{vertices}.$$$$b)\mathrm{when}\mathrm{each}\mathrm{plane}\mathrm{contains}\mathbf{exactly}$$$$\mathbf{four}\mathbf{vertices}.$$$$c)\mathrm{Could}\mathrm{we}\mathrm{say}\mathrm{that}\mathrm{a}\mathrm{plane}\mathrm{can}\mathrm{pass}$$$$\mathbf{at}\mathbf{most}\mathbf{four}\mathbf{vertices}?$$

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