# Quantitative Ability (Part 3 of 9)

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Directions: Answer these questions on the basis of the information given below:

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) , and (1,3) are friends (1,2) , and (2,3) are also friends, but (1,4) and (2,3) are enemies.

1. For general n, how many enemies will each member of Shave?
1. (n2 − 7n + 14)
2. n − 3
3. (n2 − 3n − 2)
4. 2n − 7
5. (n2 − 5n + 6)