1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mihalych1998 [28]
3 years ago
7

In a certain state, license plates consist of three letters followed by three numbers.

Mathematics
1 answer:
Anton [14]3 years ago
8 0

a. If any letters and numbers are allowed, there will be

... 26×26×26×10×10×10 = 260³ = 17,576,000 possible plates

b. If the letters and numbers cannot repeat, there will be

... 26×25×24×10×9×8 = 11,232,000 possible plates with no repeats

c. The proabaility that a randomly chosen plate has no repeats is

... 11,232,000/17,576,000 = 108/169 ≈ 0,63905

_____

When no repeats are allowed, the first letter choice can be any of the 26 letters. The second letter choice must exclude the first letter, so there are only 25 different letters to choose from. Likewise, the third letter choice cannot be either of the first two, so there are only 24 letters to choose from. The reasoning applies to numbers in similar fashion.

You might be interested in
What happens to the value of the expression \dfrac5x+5 x 5 ​ +5start fraction, 5, divided by, x, end fraction, plus, 5 as xxx de
aleksandr82 [10.1K]

Answer:

It increases

Step-by-step explanation:

(5/x) + 5

As x decreases, 5/x increases.  So the expression increases.

5 0
3 years ago
Read 2 more answers
A student factors 15c2 + c – 28 to the following.
Mamont248 [21]

Answer:

C. The expression is not equivalent, but it is completely factored.

7 0
3 years ago
Read 2 more answers
The perimeter of the rectangle below is 46 units. Find the length of side RS. Write your answer without variables.
inessss [21]

Answer:

30 units

Step-by-step explanation:

6 0
3 years ago
Which set of side lengths forms a right triangle?
pochemuha

Awnser:

9,12,18

Step-by-step explanation:

you have to add the smallest numbers together and it has to be greater that the greatest number.

9+12= 21

21>18

4 0
3 years ago
Draw the graph of y = 3 - 1/2x​
Rina8888 [55]

Answer:

Hope this helps you.

5 0
3 years ago
Other questions:
  • Racheal was packing some of her old stuff into a box. A box can hold eight pounds, but she only filled it up two-quarters full.
    6·1 answer
  • A cookie jar contains 6 chocolate chip cookies, 4 oatmeal cookies, 8 peanut butter cookies, and 2 sugar cookies. If a cookie is
    15·2 answers
  • What is the solution to this system of linear equations? X-3y=-2 and x-3y=16
    12·2 answers
  • Help Me With This Question Please!
    9·1 answer
  • What is the answer for -2x = 34
    12·2 answers
  • System of conics help
    7·1 answer
  • How do i get rid of this danggum brainly plus
    15·2 answers
  • Rates/Proportional Relationships.
    6·1 answer
  • HELP PLEASE!! (Look at the picture)
    11·1 answer
  • Identify whether each phrase is an expression, equation, or inequality.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!