Let 𝑍𝑛 be the group of integers {0, 1, 2, … , 𝑛 βˆ’ 1} with addition modulo…

GATE Β· 2024 Β· CS Β· Set 2 Β· Computer Science & IT

Let 𝑍𝑛 be the group of integers {0, 1, 2, … , 𝑛 βˆ’ 1} with addition modulo 𝑛 as the group operation. The number of elements in the group 𝑍2 Γ— 𝑍3 Γ— 𝑍4 that are their own inverses is ________

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