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If R={(a,a),(a,c),(b,c),(b,b),(c,c),(a,b...

If `R={(a,a),(a,c),(b,c),(b,b),(c,c),(a,b)}` on the set `X=(a,b,c)`, then how many subsets of R are reflexive relations?

A

15

B

16

C

8

D

9

Text Solution

Verified by Experts

The correct Answer is:
C
Given `R={(a,b),(a,c),(b,c),(b,b),(c,c),(a,b)}`
`therefore` The number of reflexive relations =The number of subsets formed by the elements (a,c),(b,c) and (a,b)`=2^(3)=8`.
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