Others Maths Puzzle

A group of k employees from the IT giant Tirnop Inc. attend a conference. Suppose that for every integer i from 0 to 3, there is a set of 3 employees from this group such that exactly i pairs of these 3 employees are friends. What is the minimum possible value of k?

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Others Other Question
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O A N Z N O What is the next no. Of the sequence 1,6,20,56,144,........?
Options:
1.352
2.256
3.169
4.468