Question

In the state of Pennsylvania, each standard automobile license plate number consists of three letters followed by a four-digit number. How many distinct license plate numbers can be formed in Pennsylvania?

Answer 1

Answer: 175,760,000

26 letters in alphabet

10 numbers

(License plate 3 letters, 4 numbers)

Letters

26*26*26=26^3=17,576

Numbers

10*10*10*10=10^4=10,000

17,576*10,000=175,760,000

Answer 2

The number of distinct license plates that can be formed in Pennsylvania will be 175.76 × 10⁶.

What are permutation and combination?

A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

In the state of Pennsylvania, each standard automobile license plate number consists of three letters followed by a four-digit number.

There are 26 letters in the alphabet and there are 10 digits from 0 to 9.

Then the number of distinct license plates that can be formed in Pennsylvania will be

The combination is given as

$\rm Number\ of \ plates = 26 \times 26 \times 26 \times 10 \times 10 \times 10 \times 10\\\\Number\ of \ plates = 175,760,000\\\\Number\ of \ plates = 175.76 \times 10^6$

More about the permutation and the combination link is given below.

https://brainly.com/question/11732255