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 vector v=[3, -5] and vector u=[-2, 7]?

Math question: If two triangles have three pairs of congruent corresponding sides and three pairs of congruent corresponding angles, do the triangles necessarily have to be congruent?

What is the arc length in radians of a sector with radius 10 units and central angle π/3?

New questions in Mathematics

STUDENTS IN A CLASS LEARN ONLY ONE FOREIGN LANGUAGE. two-sevenths of the students learn German, half of the students learn Spanish, and the remaining six students learn Italian. what is the number of students in this class? detail your reasoning carefully.

3x+5y=11 2x-3y=1

Suppose the horses in a large stable, have a mean weight of a 807 pounds and a variance of 5776. What is the probability that the mean weight of the sample of horses with differ from the population mean by greater than 18 pounds is 41 horses are sampled at random from the stable round your answer to four decimal places.

The actual length of an object is 1.3 m . If the blueprint uses a scale of 1 : 12 , what is the length of the line on the drawing?

how many arrangement can be made of 4 letters chosen from the 8 letters of the world ABBSOLUTE

Calculate the value of a so that the vectors (2,2,−1),(3,4,2) and(a,2,3) are coplanar.

The Humane Society has asked for our help again this week. Currently they are charging $50 for an adoption fee. Unfortunately they just pulled this number out of the air and do not know why they are charging this amount. They would like to charge an amount that covers all the adoption costs – both the variable costs for adoptions as well as the fixed cost for the kennel portion of the Humane Shelter operations. We can help them by doing a breakeven analysis. During a client meeting we gathered these facts. There are 2 part-time employees that each earn $1000 per month. The utilities for the kennel area (water, electricity) are $200 per month. The average food cost for animals in the kennel is $800 per month. In addition, each animal that is adopted receives a rabies vaccination that costs $4 and is micro-chipped that costs $6. At the current cost of $50, how many animals must be adopted to break-even? What would break-even be at a $60 adoption fee? What would break-even be if the fee were lowered to $40? The newspaper has suggested that the Humane Society advertise to increase pet adoptions. The package that they have recommended costs $1000 for a very small ad run every day for a month. If the Humane Society does this extra advertising, how will it affect breakeven? Based on what you have learned about elasticity, what price do you recommend for the adoption fee?

3.24 ÷ 82

Convert 9/13 to a percent

Convert 5/9 to a decimal