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    Question

    Which of the following statement is correct related to

    branch and bound method?
    A Branch and bound is a class of algorithms which is used for finding the best immediate output Correct Answer Incorrect Answer
    B Branch and a bound is an algorithmic technique whose goal is to use brute force to find all solutions to a problem Correct Answer Incorrect Answer
    C Branch and bound is a class of algorithms for finding solutions to some computational problems, notably constraint satisfaction problems Correct Answer Incorrect Answer
    D Branch and bound is a method for solving optimization problems by breaking them down into smaller sub-problems and using a bounding function to eliminate sub-problems that cannot contain the optimal solution Correct Answer Incorrect Answer

    Solution

    Why this is correct:
    Branch-and-bound is an algorithmic framework for solving combinatorial optimization problems: it systematically explores a tree of subproblems (branching) and computes bounds for subproblems to prune those that cannot contain better solutions (bounding). This description (breaking into subproblems + using bounding functions) matches option 4. Why the others are wrong: 1.      “Best immediate output” is vague and misleading — branch-and-bound searches for optimal global solutions, not an “immediate” local best. 2.      It is not pure brute force to find all solutions; it prunes parts of the search space using bounds to avoid exhaustive search. 3.      While branch-and-bound can be used for constraint satisfaction problems, option 3 is incomplete/overly narrow — the method is broadly an optimization/search technique, not limited to CSPs.

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