Question

subsets of {a,b,c,d}​

Answer 1

Answer = 14

Required explanation:-

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

Here n=4

So number of proper subsets will be= (2⁴)-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:

{}{a}{b}{c}{d}{a,b}{a,c}{a,d}{b,c}{b,d}{c,d}{a,b,c}{a,b,d}{a,c,d}{b,c,d}{a,b,c,d}

cardinality=2^n so this is ur answer.