Question

13.List all the subsets of the given set.{lime, pear, starfruit}Choose the answer that lists all of the subsets of {lime, pear, starfruit}.A.{lime}, {pear}, {starfruit}, {lime, pear},{lime, starfruit}, {pear, starfruit}B.{}, {lime}, {pear}, {starfruit}, {lime, pear},{lime, starfruit}, {pear, starfruit},{lime, pear, starfruit}C.{}, {lime}, {pear}, {starfruit}, {lime, pear},{lime, starfruit}, {pear, starfruit}D.{lime}, {pear}, {starfruit}, {lime, pear},{lime, starfruit}, {pear, starfruit},{lime, pear, starfruit}

Answer 1

The correct option is B.{}, {lime}, {pear}, {starfruit}, {lime, pear},

{lime, starfruit}, {pear, starfruit},{lime, pear, starfruit}

STEP - BY - STEP EXPLANATION

What to find?

All subset of a given set.

Given:

{lime, pear, starfruit}

First, we need to not given any set of element n.

The number of subset = 2^n

From the given set, n=3

The number of subset we should have is 2^3 = 8

Now the subsets are:

{}

{lime}

{pear}

{starfruit}

{lime, pear}

{lime, pear}

{pear, starfruit}

{lime, pear, starfruit}

The above are 8 in number, hence the subsets of the given sets.

Therefore, the correct option is . B.{}, {lime}, {pear}, {starfruit}, {lime, pear},

{lime, starfruit}, {pear, starfruit},{lime, pear, starfruit}