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Question

Let S be the set of all pairs (i,j) where 1 i < j n and n 4. Any two distinct members of S are called friends, if they have one constituent of the pairs in common and “enemies” otherwise. For example, if n=4, then S={(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)}. Here (1,2), (1,3) are friends but (1,4), (2,3) are enemies.
For a general 'n', how many enemies will each member of S have?
  1. 2n7
  2. n25n+62
  3. n27n+142
  4. n23n22


Solution

The correct option is B n25n+62
Option (C) is the correct answer. Check the video for the approach.

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