Question

How many distinct proper subsets are there of the set N={9,41,64,12,38,59,23}

Answer 1

Given:

N={9,41,64,12,38,59,23}

To find the number of distinct proper subsets, use the formula below:

`2^{n\text{ }}-\text{ 1}`

Where n is the number of values in the set.

Here, n = 7

The number of distinct proper subsets are:

`\begin{gathered} 2^7\text{ - 1 } \\ =\text{ (2}\ast2\ast2\ast2\ast2\ast2\ast2)-1 \\ =\text{ 128 - 1} \\ =\text{ 127} \end{gathered}`

Therefore, there are 127 distinct proper subsets