The set A={1, 2, 3, 4} has 4 elements. We are looking for subsets that contain the element 2 but not 3.

This means we are essentially looking at a "new" set {1, 2, 4} of 3 elements (we've removed the 3 from consideration).

The number of subsets of a set with n elements is 2^n.

So, the number of subsets of our "new" set is 2^3 = 8.

Therefore, the number of subsets of A that contain the element 2 but not 3 is 8.

So, the answer is c. 8.

Question

The set A={1, 2, 3, 4} has 4 elements. We are looking for subsets that contain the element 2 but not 3.

This means we are essentially looking at a "new" set {1, 2, 4} of 3 elements (we've removed the 3 from consideration).

The number of subsets of a set with n elements is 2^n.

So, the number of subsets of our "new" set is 2^3 = 8.

Therefore, the number of subsets of A that contain the element 2 but not 3 is 8.

So, the answer is c. 8.

Knowee AI · Accepted Answer

The set A={1, 2, 3, 4} has 4 elements. We are looking for subsets that contain the element 2 but not 3.

This means we are essentially looking at a "new" set {1, 2, 4} of 3 elements (we've removed the 3 from consideration).

The number of subsets of a set with n elements is 2^n.

So, the number of subsets of our "new" set is 2^3 = 8.

Therefore, the number of subsets of A that contain the element 2 but not 3 is 8.

So, the answer is c. 8.

If A={1, 2, 3, 4}, then the number of the subsets of A that contain the element 2 but not 3, is?a.24b.16c.8d.4