Question:
The number of ways of painting the faces of a cube of six different colours is
The number of ways of painting the faces of a cube of six different colours is
Updated On: May 20, 2022
- $1$
- $6$
- $6!$
- $36$
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The Correct Option is A
Solution and Explanation
The number of faces is equal to the number of colours.
Therefore the number of ways of painting them is 1.
Therefore the number of ways of painting them is 1.
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Concepts Used:
Permutations
A permutation is an arrangement of multiple objects in a particular order taken a few or all at a time. The formula for permutation is as follows:
\(^nP_r = \frac{n!}{(n-r)!}\)
nPr = permutation
n = total number of objects
r = number of objects selected
Types of Permutation
- Permutation of n different things where repeating is not allowed
- Permutation of n different things where repeating is allowed
- Permutation of similar kinds or duplicate objects