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
gladu [14]
3 years ago
8

License plates are made using 3 letters followed by 2 digits. How many plates can be made if repetition of letters and digits is

allowed?
A)1,757,600
B)11,881,376C)100,000
D)175,760
Mathematics
1 answer:
Helga [31]3 years ago
8 0

Answer:

26^3\times10^2 = 1757600

option B is correct

Step-by-step explanation:

We have 5 spaces in the license plate:

_ _ _ _ _

we have 26 available letters, and 10 available numbers.

starting with letters:

  • how many choices do i have to place the 1st letter? 26.

26 _ _ _ _

  • how many choices do i have to place the 2nd letter? 26 (since we're allowed to repeat letters)

26 26 _ _ _

  • how many choices do i have to place the 3rd letter? 26

26 26 26 _ _

we've used all the places for letters, (note: the exact position of the letters doesn't matter here, the first letter could've been placed anywhere in _ _ _ _ _, but the amount of possible choices for letters would always be 26).

let's move on to numbers.

  • how many choices do i have to place the 1st number? 10

26 26 26 10 _

  • how many choices do i have to place the 2nd number? 10

26 26 26 10 10

we've completed our number plate. Next we'll simply multiply all these numbers to get all the possible arrangements in which numbers and letters can be displayed on a license place.

26^3\times10^2 = 1757600

option B is correct

You might be interested in
a country's population in 1990 was 134 million. in 2000 it was a 139 million. estimate the population in 2014 using the exponent
yuradex [85]
F=ir^t

139=134r^10

139/134=r^10

r=(139/134)^(1/10) then:

f=134(139/134)^(t/10)  so in 2014, t=24 so

f=134(139/134)^(2.4)

f≈146 million  (to nearest million)

Some will say that you have to use the exponential function, but it really gives you the same answer...even for continuous compounding :)...

A=Pe^(kt)

139=134e^(10k)

139/134=e^(10k)

ln(139/134)=10k

k=ln(139/134)/10 so

A=134e^(t*ln(139/134)/10)  when t=24

A=134e^(2.4*ln(139/134))

A≈146 million (to nearest million)

The only real reason or advantage to using A=Pe^(kt) is when you start getting into differential equations...
6 0
3 years ago
Heyy could you help me out with this question I have been stuck in this question??​
Ludmilka [50]
I think the first box is perpendicular good luck
6 0
2 years ago
Plsssss help!!!!! I’m rewarded a lot of points.
tensa zangetsu [6.8K]
This is all the picture showed omg toooo hard
3 0
2 years ago
What is the length of the hypotenuse in the following figure.
xeze [42]

Answer:

5

Step-by-step explanation:

what do you mean ?? its already written there

8 0
3 years ago
Read 2 more answers
A customer calculated the cost of a new jacket, c, including a 7% sales
netineya [11]
We can put it into one step by multiplying the cost by 1.07 which basically takes into account the old cost of the jacket and the tax

the expression is
original amount * decimal multiplier (1.07) = new amount
3 0
3 years ago
Other questions:
  • Solve the following system equations:
    11·2 answers
  • The volume of a cone-shaped dessert is 10 CUBIC CENTIMETRES.
    15·1 answer
  • Which polynomials are in standard form
    10·1 answer
  • the population change from one year to the next of a town is -435 what is the absolute value of this population change
    14·1 answer
  • Which of the following is an arithmetic sequence​
    8·1 answer
  • GIVING 20 POINTS I NEED IT ASAP
    15·1 answer
  • Applying the Binomial Theorem:
    6·2 answers
  • If m∠W = 105° and m∠Y = 75°, then m∠X = <br><br> Please show your work, so I know the process.
    6·2 answers
  • Cecilia's new copy machine prints 10 pages and 1/4 minutes how many seconds does it take Cecilia's new copy machine to print one
    10·1 answer
  • Which one does 3 equal :) <br> Please let me know and why
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!