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Among 150 fac...

Question

Among 150 facutly members in an institute, 55 are connected with each other through Facebook and 85 are connected through WhatsApp. 30 faculty members do not have Facebook or WhatsApp accounts. The number of faculty members connected only through Facebook account is _______

A

35

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B

45

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C

65

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D

90

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Solution

The correct option is A 35
(a)

$F o l l o w i n g v e n n d i a g r a m c a n b e d r a w n a s$
$n (A \cup B) = n (A) + n (B) - n (A \cap B)$

$120 = 55 + 85 - n (A \cap B)$

$n (A \cap B) = 20$

$S o m e m b e r c o n n e c t e d o n l y t h r o u g h f a c e b o o k a c c o u n t = 35$

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