Q63 / 180 · COMEDK 2020 · Mathematics

A group $(G *)$ has 10 elements. The minimum number of elements of $G$, which are their own inverses is

Correct answer
A
1
B
2
C
0
D
9

Solution

Since, identity element is its own inverse. So, minimum number of element is 1 .

Hence, the correct answer is option: 'A'.

Relevant Questions

If $B = \{2x + 3 : 0 x true09 May, 2026 (S1)Questions on number of relations and sets
Set is a prime number less than 4 Then set and are25 May, 2025 (Shift)Questions on number of relations and sets
If and and then the number of elements in is equal to10 May, 2025 (S1)Questions on number of relations and sets
Let R be a relation on natural numbers defined by . The domain of R is10 May, 2025 (S1)Questions on number of relations and sets
If and , where is set of natural numbers, then10 May, 2025 (S3)Questions on number of relations and sets
Two finite sets have and elements. The total number of proper subsets of the first set is 119 more than the total number of subsets of the s10 May, 2025 (S3)Questions on number of relations and sets