AP ICET 2019 Shift 1 Paper

Question : 113 of 200

Marks: +1, -0

If A = {(x , y) ∊ z × z |

x^2+y^2

≤ 16}, then the number of reflexive relations defines on A is

Solution:

Thus set A has 49 elements
The number of reflexive relations on a set with n elements is

2^{n^{2-n}}

Thus

2^{49^{2-49}}=2^{49×48}=2^{2352}

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