Question

B. Find all the subsets of each of the following sets. Number 1 is done for you.
1. A = {m, n, p}
{},{m}, {n},{p). (m,n, m, plin, pl. m, n, pl
2. B = {x,y}
3. C = 11,2,8)
4 D = (a, b, c, d)​

Answer 1

SOLUTION

TO DETERMINE

All the subsets of each of the following sets.

1. A = {m, n, p}
2. B = {x,y}
3. C = {11,2,8}
4. D = {a, b, c, d}

CONCEPT TO BE IMPLEMENTED

SET

A set is a well defined collection of distinct objects

SUBSET

A set B is said to be a subset of A if every element of B is an element of A

NUMBER OF SUBSETS

If a set contains n elements

$\sf{}Then \: Number \: of \: Subsets \: = {2}^{n}$

EVALUATION

ANSWER TO QUESTION : 1

$\sf{}A = \{m, n, p \}$

Here A contains 3 elements

$\sf{}Number \: of \: Subsets \: = {2}^{3} = 8$

So the subsets of A are

{}, {m}, {n}, {p}, {m, n}, {m, p}, {n, p}, {m, n, p}

ANSWER TO QUESTION : 2

$\sf{}B = \{ x, y \}$

Here B contains 2 elements

$\sf{}Number \: of \: Subsets \: = {2}^{2} = 4$

So the subsets of B are

{}, {x}, {y}, {x, y}

ANSWER TO QUESTION : 3

$\sf{}C = \{11,2,8 \} = \{2,8,11 \}$

Here C contains 3 elements

$\sf{}Number \: of \: Subsets \: = {2}^{3} = 8$

So the subsets of C are

{}, {2}, {8}, {11}, {2, 8}, {2, 11}, {8, 11}, {2, 8, 11}

ANSWER TO QUESTION : 4

$\sf{}D = \{a, b, c, d \}$

Here D contains 4 elements

$\sf{}Number \: of \: Subsets \: = {2}^{4} = 16$

So the subsets of D are

{}, {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}

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LEARN MORE FROM BRAINLY

If n(A) = 300, n(A∪B) = 500, n(A∩B) = 50 and n(B′) = 350, find n(B) and n(U).

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