Sets and Functions
- If the number of items in a set A is n(A) = 40. If n(B) = 26 and n(A ∩ B) = 16 then n(A ∩ B) is equal to:
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As we know the formula.
n(A ∪ B ) = n(A) + n(B) − n(A ∩ B )
Given in the question,
n(A) = 40;
n(B) = 26;
n(A ∩ B ) = 16;Correct Option: C
As we know the formula.
n(A ∪ B ) = n(A) + n(B) − n(A ∩ B )
Given in the question,
n(A) = 40;
n(B) = 26;
n(A ∩ B ) = 16;
Put these value in formula and solve the equation.
n(A ∪ B ) = n(A) + n(B) − n(A ∩ B )= 40 + 26 – 16 = 50
- If A = { 2 , 3 , 5 , 7 , 11 } and B = { 1, 3, 5, 7, 9, 11} then what is the value of A ? B ?
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As we know that A ? B consists of the all numbers that are common in both the sets A and A.
Correct Option: C
As we know that A ? B consists of the all numbers that are common in both the sets A and B.
The common numbers in the set A and B are 3 , 5 , 7, 11.
Hence the answer will be { 3, 5, 7, 11}.
