# H = {x/x is a herding dog} and B={collie, sheltie, Border Collie} Note: All of art B are herding dogs.a. How many subsets does set B above have?b. For the set B above, list all of the subsets of B.c. How many proper subsets does set B have?

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H = {x/x is a herding dog} and B={collie, sheltie, Border Collie} Note: All of art B are herding dogs.

a. How many subsets does set B above have?

b. For the set B above, list all of the subsets of B.

c. How many proper subsets does set B have?

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Step 1

Given that,

H={x/x is a herding dog}

B = {collie, sheltie, Border Collie}

Note: All of art B are herding dogs.

Step 2

a. How many subsets does set B above have?

We know that,

Number of subset  is calculated by given formula:

Here n is number of elements in given set.

Number of element in set B = 3.

Step 3

b.

For the set B above, list all of ...

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