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
Margaret [11]
3 years ago
12

In a certain state, license plates each consist of 2 letters followed by either 3 or 4 digits. How many differen license plates

are there that have no repeated letters or digits?
Mathematics
1 answer:
coldgirl [10]3 years ago
8 0

Answer:

26 × 26 × 10 × 10 × 10 = 676 , 000  possibilities

Step-by-step explanation:

There is nothing stating that the letters and numbers can't be repeated, so all  26  letters of the alphabet and all  10

digits can be used again.

If the first is A, we have  26  possibilities:

AA, AB, AC,AD,AE ...................................... AW, AX, AY, AZ.

If the first is B, we have  26  possibilities:

BA, BB, BC, BD, BE .........................................BW, BX,BY,BZ

And so on for every letter of the alphabet.  There are  26  choices for the  first letter and  26  choices for the second letter. The number of different combinations of  2  letters is: 26 × 26 = 676

The same applies for the three digits. There are  10  choices for the first,  10

for the second and  10  for the third:

10 × 10 × 10 = 1000  

So for a license plate which has  2  letters and  3  digits, there are:  26 × 26 ×  10 × 10 × 10 = 676 , 000  possibilities.

Hope this helps.

You might be interested in
Please unswer this!!
quester [9]

Answer:

176 cm

Step-by-step explanation:

You can use the Pythagorean theorem to find the hypotenuses of each triangle by sibstituting the given lengths of each leg.

8 0
2 years ago
Find the value of the expression (3⁢x-12)+12⁢(x⁢y-10) for x=4 and y=6 .
r-ruslan [8.4K]
3(4) + 12 + 12[4(6) - 10]
12 + 12 + 12(24 - 10)
12 + 12 + 288 - 120
192
5 0
3 years ago
An IV infiltrates with 330 mL remaining in the bag. It was restarted at 1015 at a rate of 30 mL/hr. What is the IV completion ti
DochEvi [55]

Answer:

11 hours

Step-by-step explanation:

I came up with this answer by dividing the IV infiltrate in the bag by the rate. This gave the completion time.

Volume of IV infiltrate = 330ML

Rate at which it was running = 30 ML/hour

The IV completion time = volume/rate

= 330 ML/30 ML

= 11 hours

Therefore the IV completion time is 11 hours.

3 0
3 years ago
Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time d
pogonyaev

Answer:

He isn't correct. He spent 25% more time this week than the previous one.

Step-by-step explanation:

We will make proportion.

first week 20 hours  is 100%

second week 25 hours is x%

20 : 25 = 100 : x

When we multiply external and internal members we get:

20x =25 · 100 =>  x = 2500/20 = 125%

We conclude the following:

Evan spent 125% of the time in hours compared to the last week or Evan spent 25% more time this week than the previous one.

God with you!!!


7 0
2 years ago
What is the slope of the line represented by the equation y = -1/2x + 1/4
liubo4ka [24]

Answer:

The slope is -1/2 and the y intercept is 1/4

Step-by-step explanation:

y = -1/2x + 1/4

This equation is in slope intercept form

y = mx+b where m is the slope and the y intercept is b

The slope is -1/2 and the y intercept is 1/4

8 0
3 years ago
Other questions:
  • Simplify the polynomial (-8×)+×+(-2×)
    6·1 answer
  • Find the solutions to the following linear-quadratic systems algebraically. Select the order pair that is one of the correct sol
    8·1 answer
  • the second term in an arithmetic sequence is 10 and the fifth term is 22. If the first term is a1, what is an equation for the n
    10·1 answer
  • Music lessons cost $20 per week. How much do 6 weeks of lessons cost?
    8·2 answers
  • A group of 225 student needs to be arranged in a square formation for a halftime performance show
    5·2 answers
  • (8^6)^4 that is on a test that i dont know
    9·2 answers
  • 20 pts and a mark!! Help Please. One month Mai rented 5 movies and 3 video games for a total of $ 22 . The next month she rented
    5·2 answers
  • If you jog 8 times around a track that is 600 meters long, how many kilometers have you covered?
    12·2 answers
  • 1. Which list shows the numbers in increasing
    6·1 answer
  • Factor the trinomial.<br><br> 6x² + 5x − 6
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!