turkey-yks 2019 Q18

turkey-yks · Other · yks-ayt Combinations & Selection Subset Counting with Set-Theoretic Conditions

Let A and B be non-empty sets consisting of digits. If
$$A \cap B = A \cap \{ 0,2,4,6,8 \}$$
equality is satisfied, then A is called the common-intersection set of B. Given that set A is the common-intersection set of
$$B = \{ 0,1,2,3,4 \}$$
how many different sets A are there?
A) 3
B) 7
C) 15
D) 31
E) 63

Let A and B be non-empty sets consisting of digits. If

$$A \cap B = A \cap \{ 0,2,4,6,8 \}$$

equality is satisfied, then A is called the common-intersection set of B.\\
Given that set A is the common-intersection set of

$$B = \{ 0,1,2,3,4 \}$$

how many different sets A are there?\\
A) 3\\
B) 7\\
C) 15\\
D) 31\\
E) 63

Paper Questions

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