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    Question

     If 2 boys and 2 girls are to be arranged in a row so

    that the girls are not next to each other, how many possible arrangements are there?
    A 5 Correct Answer Incorrect Answer
    B 6 Correct Answer Incorrect Answer
    C 12 Correct Answer Incorrect Answer
    D 24 Correct Answer Incorrect Answer

    Solution

    Let the two girls be G1 and G2 Let the two boys be B1 and B2 Possible arrangements are : G1 B1 B2 G2, G1 B2 B1 G2, G2 B1 B2 G1, G2 B2 B1 G1 B1 G1 B2 G2, B1 G2 B2 G1, B2 G2 B1 G1, B2 G1 B1 G2 G1 B1 G2 B2, G2 B1 G1 B2, G1 B2 G2 B1, G2 B2 G1 B1 Hence,  option 3  is the correct answer.

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