If A is the set of days in a week, then set A is

Options

A. Empty set
B. Sihgleton set
C. Finite set
D. Infinite set

Answer

To determine the nature of the set A, which represents the days of the week, we will follow these steps:

### Step 1: Define the Set A
We start by defining the set A. According to the problem, A is the set of days in a week.

**Set A = {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}**

### Step 2: Count the Elements in Set A
Next, we count the number of elements in set A. The days of the week are:

1. Sunday
2. Monday
3. Tuesday
4. Wednesday
5. Thursday
6. Friday
7. Saturday

Counting these, we find that there are 7 elements in set A.

### Step 3: Determine the Type of Set
Now, we need to classify the set A based on the number of elements it contains:

- **Empty Set**: A set with no elements. (Not applicable here)
- **Singleton Set**: A set with exactly one element. (Not applicable here)
- **Finite Set**: A set with a countable number of elements. (Applicable here, as we have 7 elements)
- **Infinite Set**: A set with an uncountable number of elements. (Not applicable here)

Since we have counted 7 elements, we conclude that set A is a finite set.

### Final Answer
Thus, set A is a finite set.

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