Let A be a set with n elements. Let C be a collection of distinct subsets of A…

GATE · 2005 · IT

Let A be a set with n elements. Let C be a collection of distinct subsets of A such that for any two subsets S1 and S2 in C, either S1 ⊂ S2 or S2⊂ S1. What is the maximum cardinality of C?

  1. A.

    n

  2. B.

    n + 1

  3. C.

    2(n-1) + 1

  4. D.

    n!

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