If the position of the first and the sixth digits of the sequence of numbers 8 9 0 3 2 1 4 6 7 5 are interchanged, the second and the seventh and so on, which number would be seventh from the right end?

Options

A. 2
B. 6
C. 7
D. 8

Explanation

To solve the problem step by step, we will follow the instructions given in the question regarding the interchange of positions of the digits in the sequence.

### Step 1: Write down the original sequence.
The original sequence of numbers is:
\[ 8, 9, 0, 3, 2, 1, 4, 6, 7, 5 \]

### Step 2: Identify the positions to be interchanged.
According to the question, we need to interchange:
- The 1st digit (8) with the 6th digit (1)
- The 2nd digit (9) with the 7th digit (4)
- The 3rd digit (0) with the 8th digit (6)
- The 4th digit (3) with the 9th digit (7)
- The 5th digit (2) with the 10th digit (5)

### Step 3: Perform the interchanges.
Let's perform the interchanges one by one:
1. Interchange 1st and 6th:
- New sequence: \( 1, 9, 0, 3, 2, 8, 4, 6, 7, 5 \)
2. Interchange 2nd and 7th:
- New sequence: \( 1, 4, 0, 3, 2, 8, 9, 6, 7, 5 \)
3. Interchange 3rd and 8th:
- New sequence: \( 1, 4, 6, 3, 2, 8, 9, 0, 7, 5 \)
4. Interchange 4th and 9th:
- New sequence: \( 1, 4, 6, 7, 2, 8, 9, 0, 3, 5 \)
5. Interchange 5th and 10th:
- New sequence: \( 1, 4, 6, 7, 5, 8, 9, 0, 3, 2 \)

### Step 4: Identify the 7th number from the right end.
Now, we need to find the 7th number from the right end of the new sequence:
- The new sequence is: \( 1, 4, 6, 7, 5, 8, 9, 0, 3, 2 \)
- Counting from the right:
- 1st from right: 2
- 2nd from right: 3
- 3rd from right: 0
- 4th from right: 9
- 5th from right: 8
- 6th from right: 5
- 7th from right: 7

Thus, the 7th number from the right end is **7**.

### Final Answer:
The number that is 7th from the right end is **7**.

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