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.

Name: Solved: 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. - MathMaster
Brand: MathMaster
Rating: 4.9 (154 reviews)

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 is the sum of the mixed numbers 1 2/3 and 4 5/6 when expressed as improper fractions?

Question: What is the maximum value of the function f(x) = 2x^3 + 5x^2 - x + 3 on the interval [-1, 3]?

What are the four characteristics of an ellipse function?

New questions in Mathematics

A normal random variable x has a mean of 50 and a standard deviation of 10. Would it be unusual to see the value x = 0? Explain your answer.

A hotel in the Algarve had to offer 1 week of vacation to one of its employees as an Easter gift in a random choice. It is known that 80 people work in this hotel unit, 41 of whom are Portuguese and 39 are foreign nationals. There are 14 Portuguese men and 23 foreign women. Using what you know about conditional probability, check the probability that the gift was offered to a Portuguese citizen, knowing that it was a woman.

The data set (75, 85, 58, 72, 70, 75) is a random sample from the normal distribution No(µ, σ). Determine a 95% two-sided confidence interval for the mean µ .

9b^2-6b-5

Find the sum of the first 41 terms of the progression that begins: 32, 24, 16, …

By direct proof, how can you prove that “The sum of any three consecutive even integers is always a multiple of 6”.

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