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
Correct Answer: 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^{\gcd(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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Answer:
Solution:
BETA
