In how many ways can three girls and three boys be seated in a straight line such that three girls never sit together?
3 boys and 3 girls Total =6 Total way to make everyone sit in a straight line=6! =6×5×4×3×2×1=720 If we consider 3 girls as 1 then the total=3+1=4! How to make all three girls sit together in a straight line=4! ×3! =4×3×2×3×2=144 So, the total way to avoid sitting with all three girls is=720-144=576
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