Question

In how many ways can 4 people be seated on a square table,one on each side ​

Answer 1

• The number of circular arrangement for n objects is (n−1)!. Similar to arrangements in a circle, there would be 3! ways possible of making 4 people sit on a square table.

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Answer 2

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ᴛʜᴇ ɴᴜᴍʙᴇʀ ᴏғ ᴄɪʀᴄᴜʟᴀʀ ᴀʀʀᴀɴɢᴇᴍᴇɴᴛ ғᴏʀ ɴ ᴏʙᴊᴇᴄᴛs ɪs (ɴ−1)!.

sɪᴍɪʟᴀʀ ᴛᴏ ᴀʀʀᴀɴɢᴇᴍᴇɴᴛs ɪɴ ᴀ ᴄɪʀᴄʟᴇ, ᴛʜᴇʀᴇ ᴡᴏᴜʟᴅ ʙᴇ 3! ᴡᴀʏs ᴘᴏssɪʙʟᴇ ᴏғ ᴍᴀᴋɪɴɢ 4 ᴘᴇᴏᴘʟᴇ sɪᴛ ᴏɴ ᴀ sǫᴜᴀʀᴇ ᴛᴀʙʟᴇ.

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