jgunt7790 jgunt7790
  • 24-08-2021
  • Mathematics
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If a set S has a total of 6 subsets that consist of 2 members each, then S consists of how many members

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fichoh
fichoh fichoh
  • 27-08-2021

The set S will consist of 12 members.

Given that :

Number of subsets of set S = 6

Let the subsets of S be : a, b, c, d, e, f

Members of each subset of S = 2

This means :

a has 2 members

b has 2 members

c has 2 members

d has 2 members

e has 2 members

f has 2 members

The set S includes all members of each subset, hence, the number of members of the set S will be :

2 + 2 + 2 + 2 + 2 + 2 = 12 members

Hence, the set S consists of 12 members

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