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  4. If S is a set then | S | denotes number of elements in S. Let S = 1,2,3,4,5,6 . Number of different non-empty subsets T of S which do not contain | T |, is

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Q. If $S$ is a set then $| S |$ denotes number of elements in $S$. Let $S =\{1,2,3,4,5,6\}$. Number of different non-empty subsets $T$ of $S$ which do not contain $| T |$, is

Relations and Functions - Part 2

Solution:

Single element subset which do not contain 1 is ${ }^5 C _1$.
$\therefore{ }^5 C _1+{ }^5 C _2+{ }^5 C _3+{ }^5 C _4+{ }^5 C _5=2^5-1=31$