Question

If n(A)=7 find n(P(A))?​

Answer 1

$\displaystyle \huge\red{\underline{\underline{Solution}}}$

$✤$SET

A set is a well defined collection of objects

Example :

$\displaystyle \: A = \{ 1,2,3,4 \}$

$✤$POWER SET

Power set of a set A is defined as a set containing all the subsets of A

It is denoted by P(A)

$✤$FORMULA

If a set A has n elements then P(A) = $= {2}^{n}$

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$✤$CALCULATION

It is given that n(A) = 7

Hence $P(A) = {2}^{7} = 128$