Which of the following will be the middle digit of the lowest number formed after the digits in each number is arranged in descending order ?
`{:(642,379,894,546,795):}`

Options

A. 1
B. 2
C. 4
D. 7

Answer

To solve the problem, we need to follow these steps:

### Step 1: Arrange the digits of each number in descending order.
- For the number **642**, the digits arranged in descending order are **642**.
- For the number **379**, the digits arranged in descending order are **973**.
- For the number **894**, the digits arranged in descending order are **984**.
- For the number **546**, the digits arranged in descending order are **654**.
- For the number **795**, the digits arranged in descending order are **975**.

### Step 2: List the newly formed numbers.
After arranging the digits in descending order, we have the following numbers:
- 642
- 973
- 984
- 654
- 975

### Step 3: Identify the smallest number from the list.
Now, we need to find the smallest number among these:
- The smallest number is **642**.

### Step 4: Find the middle digit of the smallest number.
The smallest number we found is **642**. To find the middle digit:
- The digits of **642** are **6**, **4**, and **2**.
- The middle digit is **4**.

### Final Answer:
The middle digit of the lowest number formed after arranging the digits in descending order is **4**.

---