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GATE Mechanical 2024 | GA Question: 7

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How many combinations of non-null sets $\text{A, B, C}$ are possible from the subsets of $\{2,3,5\}$ satisfying the conditions: (i) $\mathrm{A}$ is a subset of $\mathrm{B}$, and (ii) $\mathrm{B}$ is a subset of $\mathrm{C}$ ?

  1. $28$
  2. $27$
  3. $18$
  4. $19$
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