If the digits of the number $972645466$ are arranged in descending order from left to right, what is the difference between the squares of the digits which are 2nd from both ends?

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**Solution:**

1. First, write down the digits of the number: $9, 7, 2, 6, 4, 5, 4, 6, 6$.

2. Arrange these digits in descending order:
   $$9, 7, 6, 6, 6, 5, 4, 4, 2$$

3. Identify the digits which are 2nd from both ends:
   - 2nd digit from the left end is $7$.
   - 2nd digit from the right end is $4$.

4. Calculate the squares of these digits:
   - $7^2 = 49$
   - $4^2 = 16$

5. Find the difference between these squares:
   $$49 - 16 = 33$$

**Answer:** $33$

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