Question

if x={alpha,bita,gamma} then write all the subsets of x

Answer 1

Answer:

2^3= 8 subsets

{alpha} {beta} {gamma} {alpha beta} {alpha gamma} {beta gamma} {alpha beta gamma} { }

Answer 2

Answer:

$\pi, \{\alpha\}, \{\beta\}, \{\gamma\}, \{\alpha, \beta\}, \{\beta, \gamma\}, \{\gamma, \alpha\}, \{\alpha,\beta, \gamma\},$

Step-by-step explanation:

Given set,

$x=\{\alpha, \beta, \gamma\}$

Subset of a set : A is called subset of B if all the elements of A are also the elements of B, where A and B can be equal or unequal.

Now, number of subsets of a set = $2^n$

Where, n = number of elements of the set.

Here, n = 3,

So, the number of subsets = $2^3$ = 8,

Thus, the subsets of A are,

$\pi, \{\alpha\}, \{\beta\}, \{\gamma\}, \{\alpha, \beta\}, \{\beta, \gamma\}, \{\gamma, \alpha\}, \{\alpha, \beta, \gamma\},$

Note : ∅ is a subset of every set.

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