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

119 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)

Question: What is the value of the sine of an angle A, where A = 45 degrees?

What is the maximum value that a continuous function f(x) can achieve on a closed interval [a, b]?

Question: What is the value of sin(π/4) + tan(π/6) + cos(π/3)?

New questions in Mathematics

If f(x) = 3x 2, what is the value of x so that f(x) = 11?

2/3+5/6×1/2

You mix a powder drug with a 4.5ml of liquid to get a reconstituted solution with a concentration of 250mg/ml. The prescribers order is for 500 mg . You will give what ml of the reconstituted solution

The price per night of a suite at the Baglioni Hotel in Venice is 1896 euros, VAT included. The VAT in Italy is 25%. The hotel gets a return of 10% out of the price VAT included. a) What is the amount of VAT paid by the hotel for one

Suppose that you use 4.29 g of Iron in the chemical reaction: 2Fe(s) + 3 Cu2 + (aq) 2Fe 3 + (aq) + 3Cu(s ) - . What is the theoretical yield of Cu (s), in grams?

Use linear approximation to estimate the value of the sine of 31o.

Three machines called A, B and C, produce 43%, 26% and 31% of the total production of a company, respectively. Furthermore, it has been detected that 8%, 2% and 1.6% of the product manufactured by these machines is defective. a) What is the probability that a product is not defective? b) A product is selected at random and found to be defective, what is the probability that it was manufactured on machine B?