Question

what is the number of proper subset of theset a,b,c,d,e,f,g​

Answer 1

Answer:

Number of proper subsets would be (2^n)-2

Here n=4

So number of proper subsets will be

(2^4)-2

=14

This can be explained as follows

Given set {A, B, C, D}

Now all subsets:{}, {A}, {B}, {C}, {D}, {A, B}, {B, C}, {C, D}, {D, A}, {A, C}, {B, D}, {A, B, C}, {A, B, D}, {A, C, D}, {B, C, D}, {A, B, C, D}

They are totally 16 in number i. e. 2^n

Now the empty set {} and complete set {A, B, C, D} are not considered proper subsets.

Therefore no. of proper subsets will be 14.

hope it helps

Answer 2

Answer: 127

Step-by-step explanation:

The formula to find no. of proper subsets is 2^n-1

Since elements of the set given are a,b,c,d,e,f, and g, the value of n will be 7.

Therefore no. of proper subsets are:-

2^n - 1

=> 2^7 - 1

=> 128 - 1

=> 127