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find the number of different ways that a family of 6 can be seated

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AGBOIIIN

[tex] \large\underline \bold{{SOLUTION}}[/tex]

Using the permutation formula

[tex]\longmapsto\rm{P_n= n!}[/tex]

[tex]\longmapsto\rm{P_6= 6!}[/tex]

[tex]\longmapsto\rm{P_6= 6×5×4×3×2×1}[/tex]

[tex]\longmapsto \boxed{\rm{P_6=720}}[/tex]

[tex] \large\underline{ \bold{ANSWER}}[/tex]

  • [tex]\textrm{720 different ways}[/tex]

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