MathMaster logo

MathMaster

  1. Home
  2. general
  3. suppose a car license plate consists of 2 letters and two digits of which the first cannot be zero how many different plat
Question

Suppose a car license plate consists of 2 letters and two digits of which the first cannot be zero. How many different plates can be engraved? consider only 26 letters and 10 digits draw an example of this.

154

likes
770 views

Answer to a math question Suppose a car license plate consists of 2 letters and two digits of which the first cannot be zero. How many different plates can be engraved? consider only 26 letters and 10 digits draw an example of this.

Expert avatar
Cristian
4.7
118 Answers
Estamos considerando una matrícula de automóvil que consta de 2 letras y 2 dígitos, con la restricción de que el primer dígito no puede ser cero. Disponemos de 26 letras (AZ) y 10 dígitos (0-9) para elegir. Para determinar el número total de matrículas diferentes que se pueden grabar, debemos considerar las posibilidades para cada posición: Para la primera letra, tenemos 26 opciones (AZ) ya que se puede utilizar cualquier letra. Para la segunda letra, también tenemos 26 opciones ya que se puede utilizar cualquier letra. Para el primer dígito, tenemos 9 opciones (1-9) ya que el cero no está incluido como opción. Para el segundo dígito, tenemos 10 opciones (0-9) ya que se permite cero para el segundo dígito. Para encontrar el número total de matrículas diferentes, multiplicamos el número de opciones para cada posición: Número total de platos = Número de opciones para la primera letra * Número de opciones para la segunda letra * Número de opciones para el primer dígito * Número de opciones para el segundo dígito Número total de platos = 26 * 26 * 9 * 10 Número total de placas = 60.840 Por lo tanto, hay 60.840 matrículas de automóviles diferentes que se pueden grabar, teniendo en cuenta las limitaciones dadas. Por ejemplo, una matrícula podría ser "AB12".

Frequently asked questions (FAQs)
What are the x-intercepts of the quadratic function y = (x + 2)(x - 5)?
+
What is the value of y when x = 4 in the circle function x^2 + y^2 = 9?
+
Find the roots of the cubic equation: x^3 + 2x^2 - 5x - 6 = 0.
+
New questions in Mathematics
If you have a bag with 18 white balls and 2 black balls. What is the probability of drawing a white ball? And extracting a black one?
How many percent is one second out a 24 hour?
An electrical company manufactures batteries that have a duration that is distributed approximately normally, with a mean of 700 hours and a standard deviation of 40 hours. Find the probability that a randomly selected battery has an average life of less than 810 hours.
Suppose 50% of the doctors and hospital are surgeons if a sample of 576 doctors is selected what is the probability that the sample proportion of surgeons will be greater than 55% round your answer to four decimal places
How many different ways can a psychology student select 5 subjects from a pool of 20 subjects and assign each one to a different experiment?
Determine the minimum degree that an algebraic equation can assume knowing that it admits 2 as a double root and -i as a triple root
There were no defectives in a sample of 1 light bulb does this sample provide sufficient evidence that in the warehouse with millions of light bulbs fewer than 10% are defective?
Primes are numbers divisible only by 1 and themselves; There are infinitely many prime numbers and the first ones are 2, 3, 5, 7, 11, 13, 17, 19, 23, .... Consider a 12-sided die, with the faces numbered from 1 to 12. Out of 4 rolls, the probability that only the first three numbers are primes is:
Solve : 15/16 divide 12/8 =x/y
The points (-5,-4) and (3,6) are the ends of the diameter of the circle calculate subequation
Quadratic equation 2X = 15/X + 7
At the dance there are 150 boys the rest are girls. If 65% are girls what is the total amount in the room
Find the minimum value of the function y = -4 x3 + 60 x2 -252 x + 8 for values of x between x = 0 and x = 9 Enter the value of the function, not the value of x
7.57 Online communication. A study suggests that the average college student spends 10 hours per week communicating with others online. You believe that this is an underestimate and decide to collect your own sample for a hypothesis test. You randomly sample 60 students from your dorm and find that on average they spent 13.5 hours a week communicating with others online. A friend of yours, who offers to help you with the hypothesis test, comes up with the following set of hypotheses. Indicate any errors you see. H0 :x ̄<10hours HA : x ̄ > 13.5 hours
To find the increased amount on a standard term deposit with the following conditions: starting amount: BGN 13000, type of deposit: annual, annual compound interest rate: 1.4%, after 4 years;
If sin A=0.3 and cos A=0.6, determine the value of tan A.
A post office has three categories of letters: 60% are from businesses, 30% are individual mail, and the remaining 10% are government mail. 5% of the letters from businesses have address errors, 10% of the individual mail has address errors, while 1% of the government mail has address errors. If we receive a letter with an address error, what is the probability that it is individual mail?"
Carmen's age was twice as old as Luis was when Carmen was Luis's age. When Luis is Carmen's age, their ages will add up to 112.
Hola👋🏻 Toca en "Crear Nueva Tarea" para enviar tu problema de matemáticas. ¡Uno de nuestros expertos comenzará a trabajar en ello de inmediato!
23,456 + 3,451

You might be interested in