Question

A realtor uses a lock box to store the keys to house that is for sale. The access code for the lock consists of six digits. The first digit cannot be a zero and the last digit must be even How many different code are available

Answer 1

450,000

Step-by-step explanation

There are 6 spaces available

First space cannot have a 0, There are 9 possible numbers

Last space can only be even, there are 5 possible numbers (0, 2, 4, 6, and 8)

The other spaces have no restriction, 10 possible numbers

Number of possible codes = 9 × 10 × 10 × 10 × 10 × 5 = 450,000

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