Permutations and Combinations (p-2) — Maths (commerce) STD 11 Commerce / Arts — Question
Maharashtra BoardEnglish MediumSTD 11 Commerce / ArtsMaths (commerce)Permutations and Combinations (p-2)1 Mark
Question
In how many different ways can 8 friends sit around a table?
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Answer
We know that ' $n$ ' persons can sit around a table in ( $n-1)$ ! ways $\therefore 8$ friends can sit around a table in 7 ! ways $ \begin{aligned} & =7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 \\ & =5040 \text { ways. } \end{aligned} $ $\therefore 8$ friends can sit around a table in 5040 ways.
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