How many numbers between 3000 and 4000 can be formed form the digits 3, 4, 5, 6, 7 and 8, no digit being repeated in any number?

Explanation

To find how many numbers between 3000 and 4000 can be formed using the digits 3, 4, 5, 6, 7, and 8 without repeating any digits, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Range**: We are looking for 4-digit numbers that fall between 3000 and 4000. The first digit of these numbers must be 3, as any number starting with 4 or higher will exceed 4000.

2. **Fix the First Digit**: Since the first digit must be 3, we have:
- First digit = 3
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