An organisation has 3 committees, only 2 persons are members of all 3
committee but every pair of committee has 3 members in common. what is the
least possible number of members on any one committee?

• Let The 3 committees are A,B and C.
  2 persons belongs to all three committees i.e A,B and C
  and every pair (let A and B)of committees has 3 members in common that means 3 -2 = 1
  and minimum number of members in any committee are 2 + 1 + 1 = 4
• 8 years agoHelpfull: Yes(8) No(1)
• two members are belongs to 3 committees,
  in common 2 members are in same 3 committees
  minimum possibles are 2+2=4 members
• 8 years agoHelpfull: Yes(2) No(0)
• suppose three committee are A B C
  p1 p1 p1
  p2 p2 p2
  p3 p3
  p4 p4
  p5 p5...
  here, p1 and p2 are common in tree commitees and p3 is common in A and B and p4 is common in B and C and p5 is common in A and C. Hence least possible number of members on any one committee is 4.
  
• 8 years agoHelpfull: Yes(2) No(0)