Question

If the total number of proper subsets of a set
consisting of 5 elements is in the form of a^b - c
then the value of a + b + c is​

Answer 1

Answer:

hii

Step-by-step explanation:

What is the number of proper subsets of set {A, B, C, and D}?

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…