Question

How many subsets does the set T = {salsa, sour cream, queso, guacamole, pico de gallo} have?Question 49 options:a) 5b) 0c) 25d) 32

Answer 1

SOLUTION:

Step 1:

In this question, we are given the following:

How many subsets does the set T = {salsa, sour cream, queso, guacamole, pico de gallo} have?

Step 2:

The details of the solution are as follows:

Recall that:

The empty set and the set itelf are also part of the subsets that must be included as part of the number of subsets.

If a set has “n” elements,

then the number of subset of the given set is

$2^n$

Hence, the total number of subsets will be:

$2^5=\text{ 32 \lparen OPTION D \rparen}$

CONCLUSION:

The final answer is:

$32\text{ \lparen OPTION D \rparen}$