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What is the branching factor of a search problem?

  • A.The depth at which the shallowest solution lies
  • B.The number of distinct actions defined by the problem
  • C.The average number of successors of each state
  • D.The number of goal states the problem contains

Answer: C

The branching factor appears as the base of the exponential in every complexity bound, so reducing it matters far more than any constant factor improvement. It is an average over the states actually encountered rather than a maximum. Goal count and solution depth are separate parameters, and the action count bounds it above but may exceed it when actions are inapplicable. Knowing which parameter sits in the exponent tells you where effort will pay. Checking the units of each quantity catches a wrong formula before the arithmetic begins.

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