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The dihedral group having order 6 can have degree _____________

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The dihedral group having order 6 can have degree _____________

(a) 3

(b) 26

(c) 326

(d) 208

This question was posed to me in an interview for job.

This intriguing question comes from Permutation Groups topic in division Groups of Discrete Mathematics

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Correct answer is (a) 3

Explanation: A symmetric group on a set of three elements is said to be the group of all permutations of a three-element set. It is a dihedral group of order six having degree three.

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