- Home
- Standard 12
- Mathematics
1.Relation and Function
medium
The probability that a relation $R$ from $\{ x , y \}$ to $\{ x , y \}$ is both symmetric and transitive, is equal to
A
$\frac{5}{16}$
B
$\frac{9}{16}$
C
$\frac{11}{16}$
D
$\frac{13}{16}$
(JEE MAIN-2022)
Solution
Total no. of relations $=2^{2 \times 2}=16$
Fav. relation $=\phi,\{( x , x )\},\{( y , y )\},\{( x , x )( y , y )\}$
$\{(x, x),(y, y),(x, y)(y, x)\}$
Prob. $=\frac{5}{16}$
Standard 12
Mathematics
Similar Questions
medium