• anonymous
Let $$k$$ be a positive integer with $$k \leq |S_n|$$. The symmetric group $$S_n$$ acts on the set B consisting of all k-element subsets of $${1, \ldots , n}$$ by $$\sigma \cdot {a_1, \ldots, a_k}={\sigma(a_1),\ldots,\sigma(a_k)}$$. Determine for which values of $$k$$ the actions of $$S_n$$ on k-element subsets is faithul
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