2019 · Q99
If X = {{a}, {b}, c}, Y = {{a}, b, c} and Z = {a, b, {c}}, then (X ∩ Y) ∩ Z equals to
Elementary MathematicsSet Theory
- A{a, b, c}
- B{{a}, {b}, {c}}
- C{φ}
- Dφ
Explanation
X cap Y = {{a}, c}. Neither {a} nor c is an element of Z = {a, b, {c}}, so (X cap Y) cap Z = phi (empty set).