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Among $150$ faculty 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$^®$ accounts is _________.

  1. $35$
  2. $45$
  3. $65$ 
  4. $90$
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