How many license plates can be made using all letters in the alphabet and the numbers 0-9?

Upvote • 1 Downvote

More

Report

To be pedantic, you will note that certain letters can not be used on a License plate as this causes some confusion for instance the letter I and the number 1 cannot be distinguished.  Similarly the letter O and Q are not used for being to similar to the number 0.  So this changes the number of combinations, by quite a bit, the methodology used before was correct so the answer is (23^4) * (10^2) (where ^ denotes raised to the power of and * multiplication).  The answer is thus reduced to 27,984,100 (a little under under 28 Mio).  This would still be an overstatement certain combinations for instance would not be permitted least they cause offense or the impression for instance that the vehicle is affiliated with certain services (for instance the police).  

Comparing this to the population of individual states and an estimate of registered vehicles per person would determine if this was a viable basis for a state licensing system.  Looking at the increase over time of vehicle registrations in a state compare withthe number of combinations currently in use would alllow you to determine how many years before the system may longer be viable.

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 xx 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:

#10xx10xx10 =1000#

So for a license plate which has#2#letters and#3#digits, there are:

#26xx26xx10xx10xx10= 676,000#possibilities.

Hope this helps.

Answer link

Related questions

• What is a random event in probability?

• What is the sample space of flipping a coin?

• What is the probability of obtaining a "3" on one roll of a die?

• What is the sample space of rolling a 6-sided die?

• If you draw one card from a deck of cards, what is the probability that it is a heart or a diamond?

• What is the probability that, if you roll a balanced die twice, that you will get a "1" on both dice?

  Microsoft and Sony are both battling behind the scenes over the Activision Blizzard deal, and Microsoft is no longer pulling its punches with regulators

  By Tom Warren / @tomwarren

  Oct 12, 2022, 6:23 PM UTC|

  Share this story

  

  Illustration by Alex Castro / The Verge

  Microsoft isn’t happy with Sony and the UK’s Competition and Markets Authority. The UK regulator signaled an in-depth review of Microsoft’s $68.7 billion deal to acquire Activision Blizzard last month, and the CMA has now published its full 76-page report (PDF) on its findings. The CMA says it has concerns that Microsoft’s Activision Blizzard deal could lessen competition in game consoles, subscriptions, and cloud gaming, but Microsoft thinks the regulator has simply been listening to Sony’s lawyers too much.

  Microsoft pleaded for its deal on the day of the Phase 2 decision last month, but now the gloves are well and truly off. Microsoft describes the CMA’s concerns as “misplaced” and says that the regulator “adopts Sony’s complaints without considering the potential harm to consumers” and “incorrectly relies on self-serving statements by Sony which significantly exaggerate the importance of Call of Duty.” Microsoft even accuses the CMA of adopting “Sony’s complaints without the appropriate level of critical review,” suggesting that the regulator is simply just listening too much to what Sony has to say.

  At the heart of all the back and forth is access to Call of Duty and concerns around the future of game subscriptions. “The CMA recognizes that ABK’s newest games are not currently available on any subscription service on the day of release but considers that this may change as subscription services continue to grow,” says the UK regulator. “After the Merger, Microsoft would gain control of this important input and could use it to harm the competitiveness of its rivals.”

  Microsoft’s full response to the CMA, seen by The Verge, also includes parts where the company tries to, comically, make it look like it somehow sucks at gaming and it can’t compete. Microsoft says Xbox “is in last place in console” and “seventh place in PC” and “nowhere in mobile game distribution globally,” and Microsoft argues it has no reason to harm or degrade rival cloud gaming services as it wants to “encourage the major shift in consumer behavior required for cloud gaming to succeed.”

  Microsoft might well be in last place in console sales during the previous generation, but it’s certainly investing billions of dollars to ensure any future Xbox sales aren’t less than half of the PlayStation and that its Xbox Game Pass bet pays off.

  Sony and Microsoft have also been battling it out over Call of Duty, and the CMA recognizes this by revealing it’s concerned about Sony’s future revenues related to Call of Duty. “PlayStation currently has a larger share of the console gaming market than Xbox, but the CMA considers that Call of Duty is sufficiently important that losing access to it (or losing access on competitive terms) could significantly impact Sony’s revenues and user base.”

  

  Call of Duty is at the center of Sony and Microsoft’s battles.Image: Activision

  Sony has shown how significant Call of Duty is after it labeled Microsoft’s offer to keep Call of Duty on PlayStation “inadequate on many levels.” The Verge revealed last month that Microsoft Gaming CEO and Xbox chief Phil Spencer made a written commitment to PlayStation head Jim Ryan earlier this year to keep Call of Duty on PlayStation for “several more years” beyond the existing marketing deal Sony has with Activision. “After almost 20 years of Call of Duty on PlayStation, their proposal was inadequate on many levels and failed to take account of the impact on our gamers,” said PlayStation head Jim Ryan in response.

  Now Microsoft says keeping Call of Duty on PlayStation is a “commercial imperative for the Xbox business and the economics of the transaction.” Microsoft says it would put revenue at risk if it pulled Call of Duty from PlayStation and that “Microsoft has been clear that it is counting on revenues from the distribution of Activision Blizzard games on Sony PlayStation.”

  Microsoft also accuses Sony of not welcoming competition from Xbox Game Pass and that Sony has decided to block Game Pass on PlayStation. “This increased competition has not been welcomed by the market leader Sony, which has elected to protect its revenues from sales of newly released games, rather than offer gamers the choice of accessing them via its subscription, PlayStation Plus.” This comes just months after Microsoft claimed, in legal filings, that Sony pays for “blocking rights” to keep games off Xbox Game Pass.

  If the UK battles are anything to go by, this acquisition could get messy as Microsoft and Sony battle it out behind the scenes to sway regulators. Microsoft even has a dedicated website to highlight its arguments as it seeks to convince regulators that its giant deal isn’t a bad one for gamers. We’re still months away from final regulator decisions, but get ready for this battle to continue to spill out onto the internet’s streets.

  Join the conversation

  Most Popular

  1. Arlo is taking away security camera features you paid for

  ---

  2. All I want for 2023 are new smart home interfaces

  ---

  3. Samsung takes on Apple and LG with its own 5K display for creative pros

  ---

  4. A partial list of all the EVs that qualify for the new $7,500 tax credit

  ---

  5. Microsoft claims it has no idea when Call of Duty came out

  ---

  Verge Deals

  / Sign up for Verge Deals to get deals on products we've tested sent to your inbox daily.

  Email (required)Sign up

  By submitting your email, you agree to our Terms and Privacy Notice. This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

  How many plates can be made of numbers and letters are allowed?

  Numbers can be anything from 0 to 9. There are 10 combinations for each place. Now, the combination for letters and numbers = 17576 × 100 = 1757600. Therefore, 1757600 license plates can be made.

  How many license plates can be made?

  Total number of license plates that can be formed is 676000.

  How many number of plates can be made if number of plates have two letters of English alphabet A to Z?

  differentdigits--0, 1, 2, 3, 4, 5, 6, 7, 8, 9. Therefore there are 26 x1 0 = 260 different plates which can be made.

  How many combinations are there for number plates?

  There are 26 letters and 10 digits, or 36 possible characters. Assuming all combinations are allowed, this is 36^7 = 78,364,164,096 possible combinations.