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
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)
Math question: Find the absolute extrema of the function f(x) = 2x^3 - 3x^2 + 4x - 1 on the interval [-1, 2].
+
What is the derivative of \(f(x) = \sqrt{g(x)}\), if \(g(x)\) is differentiable and \(g(x) = 2x^3 - 4x^2 + 5x - 3\)?
+
Math Question: Find the absolute extrema of the function f(x) = x^3 - 12x^2 + 36x on the closed interval [0, 6].
+
New questions in Mathematics
what is 456456446+24566457
The length and breadth of my rectangular vegetable garden is 12,5m and 7,25m respectively. What is the perimeter of the garden?
58+861-87
Elliot opened a savings account and deposited $5000.00 as principal. The account earns 4% interest, compounded annually. How much interest will he earn after 5 years? Round your answer to the nearest cent.
(6.2x10^3)(3x10^-6)
Find the measures of the sides of ∆KPL and classify each triangle by its sides k (-2,-6), p (-4,0), l (3,-1)
Determine the momentum of a 20 kg body traveling at 20 m/s.
A National Solidarity Bond offers A 5 year bond offering a gross return of 15% Calculate the AER for this investment. (Give your answer to two decimal places, no need for the percent or € sign in your answer)
How many anagrams of the word STROMEC there that do not contain STROM, MOST, MOC or CEST as a subword? By subword is meant anything that is created by omitting some letters - for example, the word EMROSCT contains both MOC and MOST as subwords.
The physician orders 15mg of tramadol(liquid). On hand is 30mg/2mL vials. How many mL will the MA administer?
In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24
A researcher is interested in voting preferences on change of the governing constitution in a certain country controlled by two main parties A and B. A questionnaire was developed and sent to a random sample of voters. The cross tabs are as follows Favour Neutral Oppose Membership: Party A 70 90 85 Party B 50 50 155 Test at α = 0.05 whether party membership and voting preference are associated and state the conditions required for chi-square test results to be valid.
48 kg of 30% sulfuric acid in a mixture of 10% and 40% sulfuric acid arose. How many kilograms were each of the original solutions?
1. A jeweler has two gold bars, with 80% purity and the other with 95% purity. How much of each must be melted to obtain a 5 kilo ingot with 86% purity?
Solve for B write your answer as a fraction or as a whole number. B-1/7=4
An election ballot asks voters to select three city judges from a group of 12 candidates. How many ways can this be done?
calculate the product of 4 and 1/8
How many digits are there in Hindu-Arabic form of numeral 26 × 1011
5a-3.(a-7)=-3
In a cheese factory, one pie costs 3800 denars. The fixed ones costs are 1,200,000 denars, and variable costs are 2,500 denars per pie. To encounter: a) income functions. profit and costs; b) the break-even point and profit and loss intervals.