Question

What is power of a set?? ​

Answer 1

ɪɴ ᴍᴀᴛʜᴇᴍᴀᴛɪᴄs, ᴛʜᴇ ᴘᴏᴡᴇʀ sᴇᴛ (ᴏʀ ᴘᴏᴡᴇʀsᴇᴛ) ᴏғ ᴀɴʏ sᴇᴛ s ɪs ᴛʜᴇ sᴇᴛ ᴏғ ᴀʟʟ sᴜʙsᴇᴛs ᴏғ s, ɪɴᴄʟᴜᴅɪɴɢ ᴛʜᴇ ᴇᴍᴘᴛʏ sᴇᴛ ᴀɴᴅ s ɪᴛsᴇʟғ, ᴠᴀʀɪᴏᴜsʟʏ ᴅᴇɴᴏᴛᴇᴅ ᴀs ᴘ(s), (s), ℘(s) (ᴜsɪɴɢ ᴛʜᴇ "ᴡᴇɪᴇʀsᴛʀᴀss ᴘ"), ᴘ(s), ℙ(s), ᴏʀ, ɪᴅᴇɴᴛɪғʏɪɴɢ ᴛʜᴇ ᴘᴏᴡᴇʀsᴇᴛ ᴏғ s ᴡɪᴛʜ ᴛʜᴇ sᴇᴛ ᴏғ ᴀʟʟ ғᴜɴᴄᴛɪᴏɴs ғʀᴏᴍ s ᴛᴏ ᴀ ɢɪᴠᴇɴ sᴇᴛ ᴏғ ᴛᴡᴏ ᴇʟᴇᴍᴇɴᴛs, 2s.

Answer 2

Answer:

In mathematics, thepower set (or powerset) of any setS is the set of all subsets of S, including the emptyset and S itself, variously denoted as P(S), (S), ℘(S) (using the "Weierstrass p"), P(S), ℙ(S), or, identifying the powerset of S with the set of all functions from S to a given set of