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Permutation: n Different Things Taken r at a Time

How many smal...

Question

How many small cubes are there whose 3 faces are coloured ?

A

4

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B

8

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C

16

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D

24

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Solution

The correct option is D 8
One side of the big cube = $= \sqrt[3]{64} = 4 c m$ .
Number of small cubes having three faces coloured = 1 at each corner
= 1 x 8
= 8

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Permutation: n Different Things Taken r at a Time

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