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Ten straight lines are drawn in a plane so that no two are parallel and no three pass through one point. Into how many regions do they divide the plane?

Competition practicePermutations & Combinations
  • A55
  • B56
  • C46
  • D100

Step-by-Step Solution

Each new line crossing earlier lines adds regions. Total . (55 forgets the starting region.)
Answer: B) 56

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