The value of A- B- C- A-Bc-Cc-Cc- is

Find the value of the given expression:Given: (A∪ B∪ C)∩ (A∩B^c∩C^c)∩C^cFrom the Venn diagram in the figure, we get that(A∪ B∪ C)∩ (A∩B^c∩C^c)∩C^c = B^c∩C^cHenc ...

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Byju's Answer

Standard XII

Mathematics

Properties of Set Operation

The value of ...

Question

The value of $(A \cup B \cup C) \cap (A \cap B^{c} \cap C^{c}) \cap C^{c}$ , is

$B \cap C^{c}$

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$B^{c} \cap C^{c}$

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$B \cap C$

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$A \cap B \cap C$

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Solution

The correct option is B
$B^{c} \cap C^{c}$

Find the value of the given expression:
Given: $(A \cup B \cup C) \cap (A \cap B^{c} \cap C^{c}) \cap C^{c}$
From the Venn diagram in the figure, we get that
$(A \cup B \cup C) \cap (A \cap B^{c} \cap C^{c}) \cap C^{c} = B^{c} \cap C^{c}$
Hence option (B) i.e. $B^{c} \cap C^{c}$ is correct.

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Similar questions

Consider the following relations

$1 . A - B = A - (A \cap B)$

$2 . A = (A \cap B) \cup (A - B)$

$3 . A - (B \cup C) = (A - B) \cup (A - C)$

Which of these is/are correct?

Q. The value of

(A \cup B \cup C) \cap (A \cap B^{c} \cap C^{c}) \cap C^{c}

Q. Let

A, B

be two sets such that

A \cap B = ϕ

, then

A = ϕ

and

B = ϕ

Q. The value of determinant

∣ ∣ ∣ ∣ \begin{matrix} a - b & b - c & c - a b - c & c - a & a - b c - a & a - b & b - c \end{matrix} ∣ ∣ ∣ ∣

is equal to

Q. If

∣ ∣ ∣ ∣ \begin{matrix} b + c & c + a & a + b a + b & b + c & c + a c + a & a + b & b + c \end{matrix} ∣ ∣ ∣ ∣ = k ∣ ∣ ∣ ∣ \begin{matrix} a & b & c c & a & b b & c & a \end{matrix} ∣ ∣ ∣ ∣

, then the value of

k

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The value of (A∪B∪C)∩(A∩Bc∩Cc)∩Cc, is

The correct option is B Bc∩CcFind the value of the given expression:Given: (A∪B∪C)∩(A∩Bc∩Cc)∩CcFrom the Venn diagram in the figure, we get that(A∪B∪C)∩(A∩Bc∩Cc)∩Cc=Bc∩CcHence option (B) i.e. Bc∩Cc is correct.

The value of $(A \cup B \cup C) \cap (A \cap B^{c} \cap C^{c}) \cap C^{c}$ , is