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Inequalities Involving Mathematical Means

For three fin...

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For three finite sets, n(A) = 34, n(B) = 41, n(C)52, n(An B) = 15, n(Bn C) = 19, n(Cn A) = 12A possible value of n(AU BuC) is(1) 97(2) 93(3) 98(4) 100

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A, B, C

be finite sets. Suppose that

n (A) = 10, n (B) = 15, n (C) = 20, n (A \cap B) = 8

n (B \cap C) = 9

. Then the maximum possible value of

n (A \cup B \cup C)

Q. For any two finite sets A and B. Which of the following is/are true?

Q. For any two sets A and B, if n(A) =15, n(B) = 12, A ∩ B ≠ ϕ and B ⊄ A, then the maximum and and minimum possible values of n(A ∆ B) are _______ and ___________ respectively.

A

B

are two finite sets such that

n (A) = m_{1}

n (B) = m_{2}

, then find the least and greatest values of

n (A \cup B)

Q. If A and B are two finite sets, then n(A) + n(B) is equal to ____________.

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Inequalities Involving Mathematical Means

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