Question

How many non-empty subsets of the set A = {1, 2, 3, 4, 5,
6} has at most 4 elements in it?​

Answer 1

Step-by-step explanation:

there is exactly one subset of the empty set , namely itself . therefore there are two subsets of a set with exactly one element , four of a set with two elements and so forth . there are 32 subsets of this set a .

Given the set a ={1,2,3,4,5,6} .

Answer 2

Answer:

15 non-empty subsets of the set A = {1, 2, 3, 4, 5,6} has at most 4 elements in it.

Step-by-step explanation:

The set contain 6 A = {1, 2, 3, 4, 5,6} has at most 4 elements in it.15

elements i.e n=4

Then no. of non empty subsets

                                            $2^{n} -1\\ = 2^{4} -1\\=15-1\\=15$

    Non-empty subsets  are  

                              [{1},{2},{3},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},

                                      {1,2,3},{1,2,4},{1,3,4},{2,3,4},{1,2,3,4}]

15 non-empty subsets of the set A = {1, 2, 3, 4, 5,6} has at most 4 elements in it.

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