If nA- B-5- nA- C-7 and nA- B - C - 3- then the minimum possible value of nB- C is

Name: RDSHA - Grade 11 - Mathematics - Sets - Q139
Uploaded: 2022-07-04T10:36:42+05:30
Description: Given, n(A∩ B)=5, n(A∩ C) = 7 and n(A∩ B ∩ C)=3 let, n(B∩ C) = x + 3 Therefore, minimum value of nbsp; n(B∩ C)=3 ...

Given, n(A∩ B)=5, n(A∩ C) = 7 and n(A∩ B ∩ C)=3 let, n(B∩ C) = x + 3 Therefore, minimum value of nbsp; n(B∩ C)=3 ...

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Byju's Answer

Standard XII

Mathematics

Properties of Set Operation

If nA∪ B=5, n...

Question

If $n (A \cup B) = 5, n (A \cap C) = 7$ and $n (A \cap B \cap C) = 3$ , then the minimum possible value of $n (B \cap C)$ is ___

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Solution

Given, $n (A \cap B) = 5, n (A \cap C) = 7 a n d n (A \cap B \cap C) = 3$

let, $n (B \cap C) = x + 3$

Therefore, minimum value of $n (B \cap C) = 3$

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Properties of Set Operation

Standard XII Mathematics

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If n(A∪B)=5,n(A∩C)=7 and n(A∩B∩C)=3, then the minimum possible value of n(B∩C) is ___

Given, n(A∩B)=5,n(A∩C)=7 and n(A∩B∩C)=3 let, n(B∩C)=x+3 Therefore, minimum value of n(B∩C)=3

If $n (A \cup B) = 5, n (A \cap C) = 7$ and $n (A \cap B \cap C) = 3$ , then the minimum possible value of $n (B \cap C)$ is ___

Given, $n (A \cap B) = 5, n (A \cap C) = 7 a n d n (A \cap B \cap C) = 3$

let, $n (B \cap C) = x + 3$

Therefore, minimum value of $n (B \cap C) = 3$