Mathematics · Group Theory
Let S4 denote the symmetric group on 4 elements. Let B = {x ∈ S4 : x3 = id} and C = {x ∈ S4 : x2 ≠ id}, where id represents the identity element. If m and n denote the number of elements in B and C, respectively, then which one of the following is TRUE?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1m is odd and n is odd
- 2m is even and n is odd
- 3m is odd and n is even✓
- 4m is even and n is even
Correct answer
m is odd and n is even
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