Question

Set A ={1,8}
N(A)= subsets
Set B ={sun, moon,stars}
N(B) SUBSETS
SET C={G,L,A,D}
N(C) SUBSETS
SET D={2,4,6,8}
N(E) SUBSETS
SET E ={GREEN,ORANGE, PURPLE}
N(E) SUBSETS

Answer 1

GGshivangijoshib57875

Answer 2

N(A)=2,SUBSETS=4

N(B)=3, SUBSETS=8

N(C)=4,SUBSETS=16

N(D)=4, SUBSETS=16

N(E)=3, SUBSETS=8

Given:

• Set A ={1,8}, N(A)=_____ subsets_______
• Set B ={sun, moon,stars},N(B)=____ SUBSETS___
• SET C={G,L,A,D}, N(C)=_____ SUBSETS_____
• SET D={2,4,6,8},N(D)=_____ SUBSETS______
• SET E ={GREEN,ORANGE, PURPLE},N(E)=___ SUBSETS____

To find:

• Find the cardinal number and subsets for every set.

Solution:

Concept to be used:

• Cardinal number: It represents the counting of total elements in the set.
• Subset: If a set have 'n' elements ,then it have ${2}^{n}$ subsets.

1. Set A ={1,8}.

It is clearly visible that, set A have 2 elements. So, N(A)=2

Total number of subsets are ${2}^{2} = 4$

Subsets of A are: {}, {1}, {8}, {1,8}.

2. Set B ={sun, moon,stars},N(B)=____ SUBSETS___

It is clearly visible that, set B have 3 elements. So, N(B)=3

Total number of subsets are ${2}^{3} = 8$

Subsets of B are: {}, {sun}, {moon}, {stars}, {sun,moon},{sun,stars}, {moon,stars}, {sun,moon,stars}

3. SET C={G,L,A,D}, N(C)=_____ SUBSETS_____

It is clearly visible that, set C have 4 elements. So, N(C)=4

Total number of subsets are ${2}^{4} = 16$

Subsets of C are: {}, {G}, {L}, {A}, {D}, {G,L}, {G,A}, {G,D},{L,A}, {L,D}, {A,D}, {G,L,A}, {G,L,D}, {L,A,D}, {G,A,D},{G,L,A,D}

4. SET D={2,4,6,8},N(D)=_____ SUBSETS______

It is clearly visible that, set D have 4 elements. So, N(D)=4

Total number of subsets are ${2}^{4} =1 6$

Subsets of D are: {}, {2}, {4}, {6}, {8}, {2,4}, {2,6}, {2,8},{4,6}, {4,8}, {6,8}, {2,4,6}, {2,6,8}, {2,4,8}, {4,6,8}, {2,4,6,8}

5. SET E ={GREEN,ORANGE, PURPLE},N(E)=___ SUBSETS____

It is clearly visible that, set E have 3 elements. So, N(E)=3

Total number of subsets are ${2}^{3} = 8$

Subsets of E are: {}, {GREEN}, {ORANGE},{PURPLE}, {GREEN,ORANGE}, {GREEN,PURPLE},{ORANGE,PURPLE}, {GREEN,ORANGE, PURPLE}

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