Question

How to find a set that has 64 subsets?

Answer 1

Answer:

SOLUTION: if a set B has 64 subsets of odd cardinality then find the elements in set B. Hello, If B has 2^n subsets of odd cardinality then |B| = n + 1. Since Set B has 64 subsets of odd cardinality, then 2^6 = 64.

Step-by-step explanation:

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Answer 2

• ꜱᴏʟᴜᴛɪᴏɴ:

ɪꜰ ᴀ ꜱᴇᴛ ʙ ʜᴀꜱ 64 ꜱᴜʙꜱᴇᴛꜱ ᴏꜰ ᴏᴅᴅ ᴄᴀʀᴅɪɴᴀʟɪᴛʏ ᴛʜᴇɴ ꜰɪɴᴅ ᴛʜᴇ ᴇʟᴇᴍᴇɴᴛꜱ ɪɴ ꜱᴇᴛ ʙ. ʜᴇʟʟᴏ, ɪꜰ ʙ ʜᴀꜱ 2^ɴ ꜱᴜʙꜱᴇᴛꜱ ᴏꜰ ᴏᴅᴅ ᴄᴀʀᴅɪɴᴀʟɪᴛʏ ᴛʜᴇɴ |ʙ| = ɴ + 1. ꜱɪɴᴄᴇ ꜱᴇᴛ ʙ ʜᴀꜱ 64 ꜱᴜʙꜱᴇᴛꜱ ᴏꜰ ᴏᴅᴅ ᴄᴀʀᴅɪɴᴀʟɪᴛʏ, ᴛʜᴇɴ 2^6 = 64.

ɪꜰ ᴀ ꜱᴇᴛ ʜᴀꜱ ɴ ᴇʟᴇᴍᴇɴᴛꜱ, ᴛʜᴇɴ ᴛʜᴇ ꜱᴇᴛ ʜᴀꜱ 2^ɴ ꜱᴜʙꜱᴇᴛꜱ. ᴛʜᴀᴛ ɪɴᴄʟᴜᴅᴇꜱ ᴛʜᴇ ᴇᴍᴘᴛʏ ꜱᴇᴛ ᴀɴᴅ ᴛʜᴇ ᴏʀɪɢɪɴᴀʟ ꜱᴇᴛ ɪᴛꜱᴇʟꜰ.

ɪꜰ ᴛʜᴇ ꜱᴇᴛ ʜᴀꜱ 64 ꜱᴜʙꜱᴇᴛꜱ, ᴛʜᴇɴ 2^ɴ = 64, ᴀɴᴅ ɴ = 6 ᴇʟᴇᴍᴇɴᴛꜱ.