In how many distinct ways can 5 people sit around a round table
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Step-by-step explanation:
- there are 2 way to seat B
- 3 ways to seat c
- 2 ways to seat D
and one empty seat before
so you see there are 12 ways for A and B to sit together and 12 ways for them to sit a part, which account for all 24 ways
the five people can sit around the table.
so
the no. of ways 6 people can be seated around a round table becomes 1×5×4×3×2×1=120
in other words it is equal to (n-1)!
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