If seven people sit around a table, how many ways can they arrange their seating?
اگر سات افراد ایک میز کے گرد بیٹھیں تو وہ اپنے بیٹھنے کا انتظام کتنے طریقوں سے کر سکتے ہیں؟
- 504
- 720
- 840
- 960
Explanation
To calculate the number of ways seven people can sit around a table, you can use the formula for permutations of n objects taken r at a time in a circular arrangement:
P(n,r) = (n−1)!
Where n is the number of objects (people) and r is the number of positions to fill (seats).
So, for seven people sitting around a table, there would be
(7−1)! = 6! ways.
6! = 6 × 5 × 4 × 3 × 2 × 1 = 720
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