# Q.3 Consider the binary operation $\wedge$ on the set $\{1, 2, 3, 4, 5\}$ defined by $a \wedge b = min \{a, b\}$. Write the operation table of the operation $\wedge$ .

$\{1, 2, 3, 4, 5\}$

$a \wedge b = min \{a, b\}$  for  $a,b \in \{1, 2, 3, 4, 5\}$

The operation table of the operation $\wedge$  is given by :

 $^$$\wedge$ 1 2 3 4 5 1 1 1 1 1 1 2 1 2 2 2 2 3 1 2 3 3 3 4 1 2 3 4 4 5 1 2 3 4 5

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