Let A, B, and C be sets. Find |(A∪C)∖B|   provided |A|=50, |B|=45, |C|=40, |A∩B|=20, |A∩C|=15, |B∩C|=23, and |A∩B∩C|=12. Describe a set in terms of A, B, and C with cardinality 26.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let A, B, and C be sets.

  1. Find |(A∪C)∖B|   provided |A|=50, |B|=45, |C|=40, |A∩B|=20, |A∩C|=15, |B∩C|=23, and |A∩B∩C|=12.
  2. Describe a set in terms of A, B, and C with cardinality 26.
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