What is the number of subsets of the set H = {x, y, z, w, v}?

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Question: What is the number of subsets of the set H = {x, y, z, w, v}?

Options:

Correct Answer: 32

Solution:

The number of subsets of a set with n elements is 2^n. Here, n = 5, so the number of subsets is 2^5 = 32.

What is the number of subsets of the set H = {x, y, z, w, v}?

What is the number of subsets of the set H = {x, y, z, w, v}?

Step 1: Identify the set H, which is {x, y, z, w, v}.
Step 2: Count the number of elements in the set H. There are 5 elements: x, y, z, w, and v.
Step 3: Use the formula for the number of subsets, which is 2^n, where n is the number of elements in the set.
Step 4: Substitute the value of n into the formula. Here, n = 5, so we calculate 2^5.
Step 5: Calculate 2^5, which equals 32.
Step 6: Conclude that the number of subsets of the set H is 32.

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