Question:
The number of ways in which the six faces of a cube be painted with six different colours is
The number of ways in which the six faces of a cube be painted with six different colours is
Updated On: Jul 7, 2022
- $6\, !$
- $30$
- $^6C_2$
- none of these
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The Correct Option is B
Solution and Explanation
No. of ways $\frac{6\,!}{6\,!}=1$ (All faces are alike)
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Notes on Combinations
Concepts Used:
Combinations
The method of forming subsets by selecting data from a larger set in a way that the selection order does not matter is called the combination.
- It means the combination of about ‘n’ things taken ‘k’ at a time without any repetition.
- The combination is used for a group of data where the order of data does not matter.
- For example, Imagine you go to a restaurant and order some soup.
- Five toppings can complement the soup, namely:
- croutons,
- orange zest,
- grated cheese,
- chopped herbs,
- fried noodles.
But you are only allowed to pick three.
- There can be several ways in which you can enhance your soup with savory.
- The selection of three toppings (subset) from the five toppings (larger set) is called a combination.
Use of Combinations:
It is used for a group of data (where the order of data doesn’t matter).