If A = a, ,b , ,B = c, ,d , ,C = d, ,e , , then (a, ,c), ,(a, ,d)… - Vidyadip

MCQ

If $A = \{ a,\,b\} ,\,B = \{ c,\,d\} ,\,C = \{ d,\,e\} ,\,$ then $\{ (a,\,c),\,(a,\,d),\,(a,\,e),\,(b,\,c),\,(b,\,d),\,(b,\,e)\} $ is equal to

A
$A \cap (B \cup C)$
B
$A \cup (B \cap C)$
✓
$A × (B \cup C)$
D
$A × (B \cap C)$

✓

Answer

Correct option: C.

$A × (B \cup C)$

c
(c) $B \cup C = \{c, d\} \cup \{d, e\} = \{c, d, e\}$

$\therefore A × (B \cup C) = {a, b} × {c, d, e}$

$= {(a, c), (a, d), (a, e), (b, c), (b, d), (b, e)}.$

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