A zip-code is any 5-digit number, where each digit is an integer 0 through 9. There are 67,500 zip codes with exactly 3 different digits.
To find the number of 5-digit zip codes with exactly 3 different digits, we can break the problem down into cases based on the number of each type of digit.
Case 1: One digit is repeated 2 times, and the other 3 digits are distinct.
There are 10 choices for the repeated digit, and ${5 \choose 2}$ ways to choose the positions for the repeated digits. For each choice of repeated digit, there are $9 \times 8$ ways to choose the distinct digits, and $3!$ ways to arrange them. Therefore, the total number of zip codes in this case is:
10⋅( 5/2)⋅9⋅8⋅6 = 54,720
Case 2: One digit is repeated 3 times, and the other 2 digits are distinct.
There are 10 choices for the repeated digit, and ${5 \choose 3}$ ways to choose the positions for the repeated digits. For each choice of repeated digit, there are $9$ ways to choose the distinct digit, and $2!$ ways to arrange them. Therefore, the total number of zip codes in this case is:
10(5/3)⋅9⋅2=2,700
Case 3: Two digits are repeated, each one twice, and the remaining digit is distinct.
There are ${10 \choose 2}$ ways to choose the repeated digits, and ${5 \choose 2}$ ways to choose the positions for the first repeated digit. Once the positions for the first repeated digit are chosen, the positions for the second repeated digit are determined. There are 8 choices for the distinct digit. Therefore, the total number of zip codes in this case is:
(10/2)*(5/2)*8=10,080
Adding up the zip codes from each case, we get a total of:
54,720+ 2,700+ 10,080= 67,500
Therefore, there are 67,500 zip codes with exactly 3 different digits.
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Can someone help me. I need to show the box method also can someone show me.
there's a 3 on the left of the box it got cut out. you jus multiply 3 by 6000, 200, 50, nd 3,, n then add the numbers tht you get in the boxes and if you see my bad handwriting, no you didnt
Solve the system of equations 2x - 2y = - 14 and 2x + 6y = - 6 by combining the equations.
sorrryy I don't know how to delete this so...
Step-by-step explanation:
step 1. first combine by subtraction.
step 2. 0x -8x = -8
step 3. y = 1
step 4. x = -6.
step 5. the answer is (-6, 1).
Is it possible to construct a triangle with sides of lengths 40, 8, and 30?
Answer:
No, the two shorter sides must exceed the longer side.
Step-by-step explanation:
cupcakes and points for those who answer this question for me
(the screenshot)
Answer:
2.06
Step-by-step explanation:
The original decimal is 2.0625.
Since the thousandths place is 2, we can't round up. So we can keep the 6 which is in the hundredths place giving us 2.06
Chad has a rope that is 24 yards long. How many pieces of rope measuring 4/7 of a yard can he divide his rope into?
Answer:
42
Step-by-step explanation:
Chad has a rope that is 24 meters long
He wants to divide the rope so each piece will be 4/7 yards
= 24÷ 4/7
= 24× 7/4
= 168/4
= 42
Hence he can divide the rope into 42 pieces
Purple Dog Pet Supply Inc. (PDPS) released its annual results and financial statements. Lucia is reading the summary in the business pages of today's paper. In its annual report this year PDPS reported a net income of $110,000. Last year, the company reported a retained earnings balance of $425,000, whereas this year it increased to $500,000. How much was paid out in dividends this year?
Answer:
$35,000
Step-by-step explanation:
The computation of the dividend amount is given below:
As we know that
Dividend Paid = Net income - Retained earnings for current year
where,
Retained earnings for current year = This year - last year
= $500,000 - $425,000
= $75,000
Now
Dividend Paid is
= $110,000 - $75,000
= $35,000
help pls ;;-;; ye thxs
Answer:
You still need help? :P
Step-by-step explanation:
What is the value of x?
x= 67°
hope that helps:)
Can anyone please help me this these questions:
1. $.50 is what percent of $2.00
2. $.02 is what percent of $2.00
3. $2.00 is what percent of two dollars
Answer:
1.
[tex]25\%[/tex]
2.
[tex].04\%[/tex]
3.
[tex]100\%[/tex]
Answer:
1 is 25% because .50 going into 2 00 4 times or 35%
2 is 10% because 02. is 10% of 2.00
4 is 100% because its all of the 2.00
y/-9=1/18 solve for y
Answer:
y=-1/2
Step-by-step explanation:
3x-2.(x+1)=-2 denklemini sağlayan, x'in değeri kaçtır?
Answer:
3x - 2(x +1) =-2
3x - 2x - 2 =-2
x = - 2 +2
x = 0
hope it helps
workout the value of 2^0
Answer:
It just equals to 2
Step-by-step explanation:
Think of it as 2^1!
1.
The value of anything that has an exponent of 0 is always 1
0.75 divided by 38.652
Answer:
0.019404
Step-by-step explanation:
0.75/38.652 is 0.019404.
Answer:
Divide 0.75 by 38.652 =
0.01940391
and
Divide 38.652 by 0.75 =
51.536
Step-by-step explanation:
Why do economists use market values when calculating GDP?
Answer:
Economists use market values when calculating GDP, because if they used quantity terms, they would have multiple units of measurement. Whereas, when they use market values, they have one unit of measurement for all products and services.
Step-by-step explanation:
The bill at the restaurant was $18.79 estimate the amount to leave as a $10 tip
A. $2.00
B. $3.00
C. $9.00
D. $21.00
Christina wants to buy shirts that cost $17.00 each. If x represents the number of shirts Christina buys, which equation shows the amount of money (M) she will pay for the shirts?
Answer: 17x
Step-by-step explanation:
From the question, we are informed that Christina wants to buy shirts that cost $17.00 each and we are further told that x represents the number of shirts Christina buys.
The equation shows the amount of money (M) she will pay for the shirts will be gotten by multiplying the amount of the each shirt by the total number of shirts bought. This will be:
= 17 × x
M = 17x
helpppp meeee plz...
Answer:
3 coefficient po
Step-by-step explanation:
sana maka tulong
a) Un contador, que audita los libros de un almacén por departamentos, desea confirmar las
cuentas por cobrar, como se muestra en los libros de la empresa.
b) El gobierno desea determinar el nivel de desempleo en cierta ciudad, con base en la
selección del 0,5% de sus habitantes.
c) El Banco de la Republica desea seleccionar una muestra de los bancos comerciales para
analizar los efectos del aumento de la tasa de interés con respecto a los descuentos de
prestamos en los bancos comerciales
d) Un estudiante de Contaduría desea tener una idea aproximada del valor monetario del
automóvil típico que poseen los profesores de su universidad.
e) Se quiere saber el costo de la educación. Uno de los gastos que hace un estudiante es la
compra de sus libros. Se desea conocer el costo de todos los libros comprados este año
por cada estudiante de cierto colegio.
f) Un fabricante de medicamentos desea conocer la proporción de personas cuya hipertensión
(presión alta) puede ser controlada con un nuevo producto fabricado por la compañía.
Al realizar un estudio en 6.000 pacientes hipertensos, se encontró que el 80% de ellos
pudo controlar su presión con el nuevo medicamento.
g) Según una encuesta realizada a 500 adultos mayores de la comuna de Santiago, reveló
que en promedio realizan 6 visitas anuales al consultorio. En vista de los resultados el
ministerio de salud deberá aumentar los recursos en un 10%.
Answer:
Can I please help you? i need you to translate this to english for my effort
Step-by-step explanation:
If f(x)=7(x-1)+8f(x)=7(x−1)+8 , what is the value of f(1)f(1) ?
Offering 30 points,, please help! will mark brainliest:)
The solution to the given linear function at f(1) when calculated gives an output value of; 8
How to Solve Linear functions?We are given the linear function represented by the equation;
f(x) = 7(x - 1) + 8
Now, to find f(1) simply means we substitute 1 for x in the given expression to obtain;
f(1) = 7(1 - 1) + 8
f(1) = 8
Thus, the solution is; f(1) = 8
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in sandy religious, a doodlebug digs a cone shaped pit to trap other insects. A typical pit has a radius of 1 inch and depth of 2 inches approximately how much sand would a doodle bug move to create the pit?
( PLEASE HELP ASAP)
Answer:
its c
Step-by-step explanation:
i took the test and got 100
Your mom purchased an antique lamp for $245. The value
of the lamp increases by 3.25% each year. Write an exponential
model that gives the value y (in dollars) of the lamp t years after
she purchased it. How much is it worth after 20 years? (Round
to the nearest whole dollar)
Answer:
y=245 * 1.035^t $487.50
Step-by-step explanation:
y=245*1.035^20
y=245*1.9898
y=487.49827
A cat leaps from the ground into the air with an initial vertical velocity of 11 ft/s. After how many seconds does the cat land on the ground?
Answer:
11/16 of a second
Step-by-step explanation:
At the market you can buy six bags of apples for $25 at the archer you can get eight bags of Apple for $35 which is the better deal
Answer:
$25
Step-by-step explanation:
What is the slope of the line that passes through the points (3, -20) and (11, 16)?
please I'm being timed
Answer:
9/2
Step-by-step explanation:
(3, -20) & (11, 16)
To find the slope of the line that passes through these points, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(16 - (-20)) / (11 - 3)
Simplify the parentheses.
= (36) / (8)
Simplify the fraction.
36/8
= 9/2
9/2 is the most simplified fraction. This is your slope.
Hope this helps!
The square of an add number is
A salesperson at a jewelry store earns 8% commission each week. Last week, Ali sold $450 worth of jewelry. How much did Ali make in commission? How much did the jewelry store make from her sales?
Answer:
she earned 36$ and the store earned 409.5
Step-by-step explana
8% of 450
91% of 450
Mr.Rodriguez has 1/2 cake left from his buthday party. He wants to share it among 4 people What fraction represents how much of the cake each of the 4 people will get
Answer:
Step-by-step explanation:
There is 1/2 cake left, or .5, or 50%.
.5 divided by 4 equals .125, or 1/8, of 12.5%
In fraction form, each person will receive 1/8 slice of cake.
Hope this helps!
Mark Brainliest plz!
Determine whether the second polynomial is a factor of the first.
6x2 + 5x +54; x-4
Select the correct choice below and fill in the answer box to complete your choice.
O A. No, because the polynomial 6x² + 5x + 54 evaluated at 4 is equal to
OB. Yes, because the polynomial 6x + 5x +54 evaluated at - 4 is equal to
OC. No, because the polynomial 6x + 5x +54 evaluated at - 4 is equal to
OD. Yes, because the polynomial 6x + 5x + 54 evaluated at 4 is equal to
Answer:
No, because the polynomial 6x² + 5x + 54 evaluated at 4 is equal to 170.
Step-by-step explanation:
A polynomial should have a factor (let's say a) that would make the polynomial equal to zero when we substitute that factor (a) into the polynomial.
GIVING POINTS AND BRAINLIEST!!!
Step-by-step explanation:
biggest circle option C, hope it helps radius = 6 inches
Solve for x. Round to the nearest tenth as needed
Step-by-step explanation:
by Pythagoras :
H²= B²+ P²
(7+x)²= x²+ 9²
49 + 14x + x² = x²+81
14x = x² -x²+81 - 49
14x = 32
x = 32/14 = 16/7 = 2.28 cm = 2.30 cm
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