Serial numbers for a product are to be made using 2 letters followed by 3 digits. The letters are to be taken from the first 6 letters of the alphabet, with no repeats. The digits are taken from the 10 digits 0, 1, 2, ..., 9, with no repeats. How many serial numbers can be generated?

Answers

Answer 1
Answer:  21600

==========================================================

Explanation:

There are 6 letters to pick from {A,B,C,D,E,F} and we have two slots to fill, where no repeats are allowed. This means we have 6*5 = 30 different ways to pick two letters.

There are 10 digits to pick from {0,1,2,...,9} and there are 3 slots to fill. This gives 10*9*8 = 720 different permutations for this portion.

Overall, we have 30*720 = 21600 different serial numbers possible.


Related Questions

PLEASE HELP FAST! I will give brainlist!

Answers

Answer:

D or A

Step-by-step explanation:

Answer:

960

Step-by-step explanation:

TRUST ME, mark me brainliest please

True or False: The commutative property allows you to change the order of an addition problem and division problem.
<333

Answers

Answer:

True!!

Step-by-step explanation:

The commutative, associative, and distributive properties help you rewrite a complicated algebraic expression into one that is easier to deal with. When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.

Hope this helps!! Please consider marking brainliest! Have a good one!!

Points A and B are 200 mi apart.

Answers

okay and what about it?

Answer:

17*200/17+83

Step-by-step explanation:

Points A and B are 200 mi apart. A cyclist started from point A and a motorcyclist started from point B, moving towards each other. The speed of the cyclist was 17 mph, the speed of motorcyclist was 83 mph. At what distance from point A will they meet?

The distance under the question is 17*200/17+83= 17*2 = 34 miles.

17+83 = 100 mph in the denominator is the relative speed of the participants,  the rate of decreasing the distance between them.

200/17+83=200/100= 2 hours is the time before they meet.

therefore  17*200/17+83 is the time before they meet

Complete the multiplication sentence that the following images represent. * 10​

Answers

Answer:

486 if its multiplication

Step-by-step explanation:

18*27=486

The bakers at Healthy Bakery can make 270 bagels in 5 hours. How many bagels can they bake in 18 hours?


375 bagels


75 bagels


972 bagels


1350 bagels

Answers

972 bagels the third one

I need help with math homework #2 algebra

Answers

Answer:

A. (0, -2) and (4, 1)

B. Slope (m) = ¾

C. y - 1 = ¾(x - 4)

D. y = ¾x - 2

E. -¾x + y = -2

Step-by-step explanation:

A. Two points on the line from the graph are: (0, -2) and (4, 1)

B. The slope can be calculated using two points, (0, -2) and (4, 1):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-2)}{4 - 0} = \frac{3}{4} [/tex]

Slope (m) = ¾

C. Equation in point-slope form is represented as y - b = m(x - a). Where,

(a, b) = any point on the graph.

m = slope.

Substitute (a, b) = (4, 1), and m = ¾ into the point-slope equation, y - b = m(x - a).

Thus:

y - 1 = ¾(x - 4)

D. Equation in slope-intercept form, can be written as y = mx + b.

Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.

y - 1 = ¾(x - 4)

4(y - 1) = 3(x - 4)

4y - 4 = 3x - 12

4y = 3x - 12 + 4

4y = 3x - 8

y = ¾x - 8/4

y = ¾x - 2

E. Convert the equation in (D) to standard form:

y = ¾x - 2

-¾x + y = -2

Need help with geometry.

Answers

Answer:

42

Step-by-step explanation:

QUESTION 1 of 10: A company is offering to pay a stadium $750,000 per year for naming rights. If the administrative costs for this
sponsorship are $63,000, what are the costs as a percentage of the revenue for the stadium-naming sponsorship? (Round to the nearest
percent.)
a) 5%
b) 6%
оооо
C) 7%
O d) 8%
Submit

Answers

Answer:

8%

Step-by-step explanation:

pls help me it would mean a lot <3

Answers

I believe it would be y=2.5x

Have an amazing day :3

Answer:

The equation of the line will be:

[tex]y\:=\:\frac{2}{5}x[/tex]

Step-by-step explanation:

We know the slope-intercept of a line equation is

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

Given two points on a line graph

(0, 0)(25, 10)

Finding the slope between two points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(25,\:10\right)[/tex]

[tex]m=\frac{10-0}{25-0}[/tex]

[tex]m=\frac{2}{5}[/tex]

We know that the y-intercept on a line graph can be observed by setting x=0 and checking the corresponding value of y.

From the graph, it is clear

at x = 0, y = 0

Thus, the y-intercept = b = 0

Now, substituting b = 0, and m = 2/5 in the slope-intercept form

[tex]y = mx+b[/tex]

[tex]y\:=\:\frac{2}{5}x+0[/tex]

[tex]y\:=\:\frac{2}{5}x[/tex]

Therefore, the equation of the line will be:

[tex]y\:=\:\frac{2}{5}x[/tex]

What is the slope-intercept equation of the line that goes through the points (3,5) and (-1,13)

Answers

Answer:

y=-2x+11

Step-by-step explanation:

Slope-intercept form is y=mx+b.

Slope is rise/run, which is y2-y1/x2-x1. Using these points, that's (13-5)/(-1-3). This is 8/-4, or -2.

You can plug this into y=mx+b to get y=-2x+b.

To solve for b, you can use one of the original points and plug it back into the formula:

y=-2x+b

5=-2(3)+b

5=-6+b

b=11

So, putting it all together, you get y=-2x+11.

You're baking a batch of 12 cupcakes. Each batch requires 100 grams of butter. Which proportion shows how much butter there is in each cupcake?

Answers

Answer: .12 grams of butter per cupcake

Step-by-step explanation:

1/12=x/100 this is what i found but this may or may not be the right answer but I am pretty sure that it is. Sorry if this doesn't help.

What is the measure of ∠C in the figure below

Answers

Answer:

C. 56°

Step-by-step explanation:

An isosceles triangle has two sides that are equal. ∆ABC has two equal sides. Thus, the angles opposite the two sides of an isosceles triangle are also congruent to each other.

<C and <A are congruent to each other.

m<A = 56°, therefore,

m<C = 56°

I have know what is the exact answer for this question

Answers

Answer:

512? Or you using the other way

SOMEONE PLZ HELP ME OUT!

Answers

Answer:

I'm not sure but I believe 0%

Step-by-step explanation:

Why I think this is they asked more than 200 students if they like hamburgers or hot dogs. They never said how many liked them both. That is why I think it is 0%. Also I'm only in 5th grade so sorry if this didn't help. I'm trying my best here.

how would you break down 40% to find 40% of a number

Answers

Answer:

find 80 percent

Step-by-step explanation:

1
60°
6
7
4
LO
40°
2
3
30%
20°
Jo measures of a triangle.
its angles.
Help plzz

Answers

Answer:

1=50

2=90

3=60

4=60

5=60

6=60

7= 120

Step-by-step explanation:

The Action Copy Company offers to lease a copy machine for a fixed weekly fee of $10.00 and an additional charge of $.07 for each copy. Fast Print Company offers a fixed charge of $25.00 a week with an additional charge of $.02 for each copy. Is there a certain number of copies where the two companies charge the same amount? If so, how many copies are made and what is the charge?

Answers

their would be 300 copies made and the charge would be $31

16. Patrick turned out for the track team and lost 5.62 kilograms during the season. After the season
finished, he gained back 1.4 kilograms.
a. One of the decimals should be written as negative number. Which one is it and why?
b. Find the sum of the two numbers to determine the total change in Patrick's weight

Answers

Answer:

A: the 5.62 kilograms should be negative, since he is losing weight.

B: -5.62 + 1.4 is -4.22, which is how many kilograms Patrick lost in total.

Hope this helps :)

What is the answer for this plz??? I will mark brainliest!!!

Answers

Answer: 59 1/2

Step-by-step explanation:

Answer:

The new elevation is -92 [tex]\frac{1}{8}[/tex] ft.

Step-by-step explanation:

-75 [tex]\frac{3}{4}[/tex] = -75[tex]\frac{6}{8}[/tex]

-75 [tex]\frac{6}{8}[/tex] + -16 [tex]\frac{3}{8}[/tex] = -91 [tex]\frac{9}{8}[/tex] = 92 [tex]\frac{1}{8}[/tex]

261 feet in 405 minutes give it as a simplified fraction​

Answers

Answer:

[tex]\dfrac{261}{405}[/tex] = [tex]\dfrac{29}{45}[/tex]

Step-by-step explanation:

We need to find the simplified fraction of 261 feet in 405 minutes.

It means we need to divide 261 feet and 405 minutes or it can be written as :

[tex]\dfrac{261}{405}[/tex]

We know that, 29 × 9 = 261 and 45 × 9 = 405

[tex]\dfrac{261}{405}=\dfrac{29\times 9}{45\times 9}\\\\=\dfrac{29}{45}[/tex]

Hence, the simplified fraction of the given fraction is [tex]\dfrac{29}{45}[/tex].

Find the exact value of cos(a-b) given sin(a)=-4/5 and cos(b)=-5/8 for a in Quadrant III and B in Quadrant II.

See picture for answer choices.

Answers

Answer: B

Step-by-step explanation:

Solve for A if ñ=3.14 and r=3.

Answers

Answer:

28.26

Step-by-step explanation:

The question gives the first three digits of π, which is 3.14, and it gives us the radius, which is 3. So, just substitute them into the formula and you’ll get 3.14(3^2). Solve it and the final answer is 28.26.

Hope this helps! :)

Solve this equation. Enter your answer in the box.

−5/6e−2/3e=−24

Answers

Now das tuff but could I get your zoom codes

It cost $15 to buy 6 pairs of socks.

Answers

thank you, I’ll be using this when I need 6 pairs of socks

Identify and equation in point-slope form for the line parallel parallel to y=-2/3×+8 that passes through 4,-5

Answers

Parallel= same slope
Point slope: y - y1 = m(x - x1)
y + 5 = -2/3( x - 4)

What is the greatest common factor of 42, 56, and 112

Answers

Answer: gcf, hcf, gcd (42; 112) = 14 = 2 × 7: greatest (highest) common factor (divisor), calculated.

Step-by-step explanation:

Answer:14

Step-by-step explanation:

please answer fast!!!

Answers

Answer:

VP = 21

ZP = 7

Step-by-step explanation:

Given:

VZ = 14

Required:

VP and ZP

Solution:

Since Z is the centroid, therefore:

⅔ of VP = VZ (centroid theorem)

Thus,

⅔(VP) = 14 (substitution)

Multiply both sides by 3

2(VP) = 14*3

2(VP) = 42

Divide both sides by 2

VP = 42/2

VP = 21

✅VZ + ZP = VP

14 + ZP = 21

ZP = 21 - 14 (subtraction property of equality)

ZP = 7

wut do u need answered

Answers

Answer:

nothing rn what do you need answered?

Step-by-step explanation:

Answer:

i have 0 questions to be answered anyway have a good day, week and happy new years and thanks for the points

The complex numbers z1 and z2 are graphed. Which point represents z1 + z2?

A
B
C
D

Answers

Answer:

A

Step-by-step explanation:

edge

[tex]Z_{1} +Z_{2}[/tex] represents Point A i.e., 3i.

What are complex numbers?

Complex numbers are the numbers that are expressed in the form of

a + ib where, a, b are real numbers and  ‘i’ is an imaginary number called “iota”. The value of i = (√-1). For example, 2+3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im).

Given

The complex numbers z1 and z2 are graphed.

From the graph,

[tex]Z_{1} =3+i[/tex]

[tex]Z_{2} =-3+2i[/tex]

[tex]Z_{1} +Z_{2}= 3+i+(-3+2i)[/tex]

[tex]Z_{1} +Z_{2}= 3-3+i+2i[/tex]

[tex]Z_{1} +Z_{2}= 3i[/tex]

Option A is correct.

[tex]Z_{1} +Z_{2}[/tex] represent Point A i.e., 3i.

Find out more information about complex numbers here

https://brainly.com/question/777332

#SPJ2

what is the slope of (1,-3) and (-5,-4)

Answers

Answer:

slope is 1/6

Step-by-step explanation:

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