Mathematics, 27.07.2019 05:10 Leanylopez0811

Let a be a set with 8 elements
a. find the number of subsets of a
b. find the number of subsets of a having one or more elements
c. find the number of subsets of a having exactly one element
d. find the number of subsets of a having two or more elements

Answers: 3

Show answers

Answers

Answer from: mcfancei

a)The number of subsets of A is 256

b)The number of subsets of A having one or more elements is 255

c)The number of subsets of A having exactly one element is 8

d) The number of subsets of A having two or more elements is 247

Step-by-step explanation:

Let A be the set of 8 elements

Formula of number of subsets = 2^n

where n is the number of elements

Substitute n = 8

a) So, Number of subsets of A = 2^8

= 256

b)The number of subsets of A having one or more elements

Since the subsets contains ∅ also

So, we will exclude the null set

So, the number of subsets of A having one or more elements = Total no. of subsets - 1

=256-1

=255

c)The number of subsets of A having exactly one element

Since the no. of elements are 8 in Set A

So, The number of subsets of A having exactly one element = 8

d. The number of subsets of A having two or more elements

Since The number of subsets of A having exactly one element = 8

The subsets contains ∅ also

So, we will exclude null set and subsets of A having exactly one element

So, The number of subsets of A having two or more elements = 256-(8+1)

=247

Hence ,

a)The number of subsets of A is 256

b)The number of subsets of A having one or more elements is 255

c)The number of subsets of A having exactly one element is 8

d) The number of subsets of A having two or more elements is 247

Answer from: Quest

The answer would be: b
Which is true about the functional relationship shown in the graph? pls me

Answer from: Quest

c) yes, because of asa or aas

Another question on Mathematics

Mathematics, 21.06.2019 15:00

Need ! give step by step solutions on how to solve number one [tex]\frac{9-2\sqrt{3} }{12+\sqrt{3} }[/tex] number two [tex]x+4=\sqrt{13x-20}[/tex] number three (domain and range) [tex]f(x)=2\sqrt[3]{x} +1[/tex]

Answers: 3

Answer

Mathematics, 21.06.2019 17:00

How many credit hours will a student have to take for the two tuition costs to be equal? round the answer to the nearest tenth of an hour.

Answers: 1

Answer

Mathematics, 21.06.2019 17:40

How can the correlation in the scatter plot graph below best be described? positive correlation negative correlation both positive and negative no correlation

Answers: 1

Answer

Mathematics, 21.06.2019 21:30

Which of the following is a solution of z^6 = 64i? 2(cos105° + isin105°) 2(cos120° + isin120°) 2(cos135° + isin135°) 8(cos15° + isin15°)

Answers: 1

Answer

You know the right answer?

Let a be a set with 8 elements
a. find the number of subsets of a
b. find the number of...

Questions