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nata0808 [166]
3 years ago
8

The standard configuration for an Arizona license plate is 3 digits (0 - 9) followed by 3 letters (of 26). If you can not repeat

digits or letters, how many plates (NO COMMAS NEEDED) can be made?
Mathematics
1 answer:
Anna71 [15]3 years ago
5 0

Answer:

11232000 plates can be made.

Step-by-step explanation:

The order of the digits and of the letters is important. For example, ABC is a different configuration than CBA. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

In this question:

3 digits from a set of 10(there are 10 digits from 0 to 9).

3 letters from a set of 26. So

Total:

T = P_{(10,3)} \times P_{(26,3)} = \frac{10!}{(10-3)!} \times \frac{26!}{(26-3)!} = 11232000

11232000 plates can be made.

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Which basic geometric figure is labeled with either one capital letter or three capital letters?
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<u>Answer-</u>

An angle is labeled with either one capital letter or three capital letters

<u>Solution-</u>

<em>Point-</em>

As a point is 0 dimensional, so you just need 1 point to define a point.  

<em>Line-  </em>

As a line is 1 dimensional,so you need 2 points to define a line.  

<em>Plane-</em>

A plane is 2 0r 3 dimensional, so you need 3 points to define a plane.

<em>Angle-</em>

An angle measures the amount of turn. An angles is labeled with a single letter at the vertex, as long as it is perfectly clear that there is only one angle at this vertex. Otherwise, it is named according to the intersecting lines with 3 letters.


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Can you ever use a calculator to determine if a number is rational or irrational?
timofeeve [1]
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Contact [7]

Answer:

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