SATHEE: Permutations And Combinations Question 320

Permutations And Combinations Question 320

Question: In how many ways vertices of a square can be coloured with 4 distinct colour if rotations are considered to be equivalent, but reflections are distinct?

Options:

A) 65

B) 70

C) 71

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Here in this case condition is similar to formation of necklace i.e., $ (n,k)=\frac{1}{n}\sum\limits _{i=1}^{n}{{k^{god(n,i)}}} $ We can use this formula or from the table (you shouldn?t memorize it) required number of ways is 70.

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Permutations And Combinations Question 320

Question: In how many ways vertices of a square can be coloured with 4 distinct colour if rotations are considered to be equivalent, but reflections are distinct?

Options:

Answer:

Solution:

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