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31 votes
31 votes
How many license plates can be made if each plate contains 3 letters and3 numbers? The numbers can repeat, but the letters cannot repeat.

User Biswanath
by
2.9k points

1 Answer

12 votes
12 votes

SOLUTION

Step 1 :

In this question, we are told that each plate contains

3 letters and 3 numbers.

The numbers can repeat, but the letters cannot repeat.

Step 2 :

For us to find the number of license plates that can be made,

we have that:


3\text{ x 3 x 3 x 3 }!
3\text{ x 3 x 3 x 3 x 2 x 1 =162 license plates.}

CONCLUSION :

The final answer is 162 license plates.

User Muhammad Touseef
by
3.1k points