Question

All the nonempty subsets s of { 1, 2, 3, 4, 5, 6, 7}, how many do not contain the number |s|, where |s| denotes the number of elements in s? For example, {3, 4} is one such subset, since it does not contain the number 2. Please do not add white space around the answer

Answer 1

Please see the attachment

Answer 2

Answer:

64

Step-by-step explanation:

We are given that a set s={1,2,3,4,5,6,7}

We have to find the number of subsets which do not contain the number of elements equal to total number of elements in set

We have a formula of finding the number of subsets of set

Number of subsets of a set which contain n elements =$2^n$

There are only one subset of a set which contain all elements of a set .That set is itself.

Therefore,  total elements excluding one element =6

Then , total number of subsets=$2^6$

Number of subsets which do not contain the number equal to cardinality of set =64