Question

A universal set U consists of 25 elements. If sets A, B, and C are proper subsets of U and n(U) = 25, n(A ∩ B) = n(A ∩ C) = n(B ∩ C) = 9, n(A ∩ B ∩ C) = 3, and n(A ∪ B ∪ C) = 21, determine each of the following. a) n(A ∪ B) b) n(A' ∪ C) c) n(A ∩ B)

Name: a universal set u consists of 25 elements if sets a b and c are proper subsets of u and nu25 na bna cnb c9 na b c3 and na b c21 determine each of the following a na b b na c c na b 36504
Uploaded: 2022-09-04T16:13:10-08:00
Duration: 4 min 41 s
Channel: Steven Clarke
Description: a universal set u consists of 25 elements if sets a b and c are proper subsets of u and nu25 na bna cnb c9 na b c3 and na b c21 determine each of the following a na b b na c c na b 36504

          A universal set U consists of 25 elements. If sets A, B, and C are proper subsets of U and n(U) = 25, n(A ∩ B) = n(A ∩ C) = n(B ∩ C) = 9, n(A ∩ B ∩ C) = 3, and n(A ∪ B ∪ C) = 21, determine each of the following.
a) n(A ∪ B)
b) n(A' ∪ C)
c) n(A ∩ B)

Added by Linda L.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Steven Clarke

09/04/2022

Step 1

- The universal set U has 25 elements. - Sets A, B, and C are proper subsets of U. - n(A ∩ B) = n(A ∩ C) = n(B ∩ C) = 9. - n(A ∩ B ∩ C) = 3. - n(A ∪ B ∪ C) = 21. - We need to find n(A ∪ B), n(A' ∪ C), and n(A ∩ B). Show more…

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A universal set U consists of 25 elements. If sets A, B, and C are proper subsets of U and n(U) = 25, n(A ∩ B) = n(A ∩ C) = n(B ∩ C) = 9, n(A ∩ B ∩ C) = 3, and n(A ∪ B ∪ C) = 21, determine each of the following. a) n(A ∪ B) b) n(A' ∪ C) c) n(A ∩ B)