Independence and inclusion

Let \(V\) be a vector space and \(X\subseteq Y \subseteq V\). Decide, which of the following claims are valid or not:

Variant 1
The se \(X\) is not independent, while the set \(Y\) is independent.
Variant 2
If the set \(X\) is independent, so is the set \(Y\).
Variant 3
If the set \(Y\) is independent, o is the set \(X\).
Result
Correct: Every \(n\)-tuple of vectors in \(Y\) is independent, thus the very same must hold also for all \(n\)-tuples of vector in the set \(X\).