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?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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