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UP TGT Mathematics Set Theory Test Series - Part 3

The Alternating Group A_n consists of all even permutations in S_n and its order is:

Type: MCQ • Marks: 1
The Alternating Group A_n consists of all even permutations in S_n and its order is:
Options
A. n!
B. n! / 2
C. n / 2
D. (n - 1)!
Explanation
A_n contains half of the elements of S_n, so |A_n| = n!/2.
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