How many different five –digit number licence plates can be made if First digit cannot be zero and the repetition of digits is not allowed, The first digit cannot be zero, but the repetition of digits is allowed?

Explanation

To solve the problem of how many different five-digit number license plates can be made under the given conditions, we will break it down into two cases.

### Case 1: First digit cannot be zero and repetition of digits is not allowed.

1. **Choosing the first digit**: The first digit can be any digit from 1 to 9 (since it cannot be zero). Therefore, there are 9 options for the first digit.

**Choices for the first digit**: 9 (1-9)

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