12 identical coins are placed in the cells on a chess board with 4 rows and 4 columns. If coins are not
allowed to be placed in the same cell, how many ways are there so that there are 3 coins in every rows
and columns?

Answers

Answer 1

Answer:

24 ways

Step-by-step explanation:

If the coins are identical and not numbered, we need to find the number of patterns.

There are 4 rows and 4 columns. One cell remains empty in each row.

There are 4 options for the first row, 3 options for the second row, 2 options for the third row and 1 option for the fourth row.

The number of options reduces to avoid more than 1 empty cell in each row or column.

Number of options is:

4*3*2*1 = 24
Answer 2
>> Answer

_________

[tex] \: [/tex]

4rows, and 4columns.

Soo :

= 4!

= 4 × (4 - 1) × (4 - 2) × (4 - 3)

= 4 × 3 × 2 × 1

= 24


Related Questions

Find m<1


A. 76°

B. 63°

C. 69°

D. 83°

Answers

Answer:

83°

Step-by-step explanation:

A triangle adds up to 180°

180-(53+44)

What is 7.3482 rounded to 2, 3 and 4 significant figures?​

Answers

2 figures - 7.3

3 figures - 7.35

4 figures - 7.348

2 sig figs- 7.3
3 sig figs- 7.35
4 sig figs- 7.348

[tex]3(x+2)2+4(x+2)+1=0\\[/tex]

Answers

Answer:

-3

-7/3

Step-by-step explanation:

Let u=x+2

We need to now solve 3u^2+4u+1=0 for u.

I'm going to try factoring. 3u (u)=3u^2 and 1(1)=1 so I'm going to try factored form (3u+1)(u+1).

Since 3u(1)+1(u)=4u, we are done.

Since (3u+1)(u+1)=0, then either 3u+1=0 or u+1=0.

Let's solve u+1=0 by subtracting 1 on both sides which obtains for us that u=-1.

Let's solve 3u+1=0 by subtracting 1 and then dividing both sides by 3 which obtains for us u=-1/3.

Since u=x+2, we are down to just solving the following:

x+2=-1 and x+2=-1/3

Both equations require us to subtract 2 on both sides.

The solutions are

x=-1-2=-3 and x=-1/3-2=-7/3

Answer:

Step-by-step explanation:

[tex]\Large \boldsymbol {} Let : t=x+2 \ \ ; \ \ t^2=(x+2)^2\\\\3(x+2)^2+4(x+2)+1 =0 \\\\\\3t^2+4t+1=0 \\\\D=16-12=4 \\\\ t_{1}=\dfrac{-4-2}{6} =-1 \ \ ; \ \ \boxed{x_1=-3 }\\\\\\ t_2=\dfrac{-4+2}{6} =-\dfrac{1}{3} \ \ ; \ \boxed{x_2=-2\frac{1}{3} }[/tex]

Atlantic Hurricanes
Number
1925
1930
1935
1940
1945
1950
1955
1960
1965
1970
1975
Year
Between which years was
the biggest change in the
number of hurricanes?

Answers

Answer:

1950

Step-by-step explanation:

because 1950 column has the most highest number which is 11

Answer:

Between 1945 and 1950 ( from 5 to 11 ),

Step-by-step explanation:

What is the value of the expression below when x=3 and y=8?
6x +10y

Answers

Answer:

98

Step-by-step explanation:

The value of the expression below when x=3 and y=8 is 98.

What line does the point (8,41) lie?

Answers

Answer:

There are infinite answers to your question

y= 5x + 1

is one of them

Step-by-step explanation:

what's the rational approximation of 15​

Answers

Answer:

15 / 1

hope that helps uh...

find each rate and unit rate.
a. 420 miles in 7 hours
b. 360 customers in 30 days
c. 40 meters in 16 seconds
d. 7.96 for 5 pounds​

Answers

Answer:

c is the answer

Step-by-step explanation:

Answer:

Answers                                                     Work

a.60 miles in one hour                               420/7                

b.12 customers in one day                        360/30

c.2.5 meters in I second                            40/16

d.$1.59 for 1 pound                                   7.96/5

Step-by-step explanation:

-1/4 (x+2)+5=-x I really need help

Answers

Answer:

x = -6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

-1/4 (x+2)+5=-x

-1/4x-1/2+5=-x

-1/4x+4.5=-x

+1/4x          +1/4x

(4/3) 4.5=-3/4x (4/3)

6=x

x=6

Simplify. 2/ 28 thx :))​

Answers

Answer:

1/14

Step-by-step explanation:

2/28÷2=1/14

Answer:

1/14

Step-by-step explanation:

2/28

Find the greatest common factor of 2 and 28

2: 1, 2

28: 1, 2,…

The greatest common factor is 2

Now use 2 to simplify 2/28

2/28 = 1/14

By dividing the numerator and denominator by 2

What is the square root of 81?
A. 11
B. 9
C. 18
D.8

Answers

Answer:

the correct answer is

B . 9

9 X 9 = 81

Step-by-step explanation:

Answer:

OPTION(B):Square root of 81 is 9

Find the value:
please help

Answers

Answer:

the answer is 44

Step-by-step explanation:

4*2=8

48-(32:8)

48-(4)

44

I really hope it helps:))))))))))

Answer:

C. 32

Step-by-step explanation:

Order of Operations: Multiplication/Division (left to right) comes before Addition/Subtraction (left to right).

48 - 32/4 x 2 (Division)

48 - 8 x 2 (Multiplication)

48 - 16 (Subtraction)

32

Geometry, please answer question ASAP

Answers

9514 1404 393

Answer:

  D.  180°

Step-by-step explanation:

The letter S is symmetrical about its center. The letter looks the same when it is rotated 180° about its center.

Correct answer gets brainliest and 5 stars

Answers

Answer:

A is false

Step-by-step explanation:

notice how in both diagrams, there are 4 triangles with lengths a, b, c, but in each diagram the triangles are just rotated and positioned differently. if there are the same amount of triangles in both diagrams, and the have equal lengths then the area of the remaining figure, should both match up.

basically the area of the big square in Step 2, is equal to both of the shaded squares, combined area, in Step 1.

Using 20 boxes of nails a carpenter was able to finish 40 bird houses. Write an
equation that can be used to express the relationship between the total number of
birdhouses completed(t)and the boxes of nails(b) used.

Help ASAP!

Answers

Answer: 20 times 2 = 40/ 40 divided by 2 = 20

Step-by-step explanation: Both of them are used to help find the answer to the equation.

Which angles are corresponding angles?
Check all that apply.

Answers

Answer:

hey mateee

corresponding angles are the pairs of angles that are found in the same relative position on different intersections.

so the ans wud be

a b and e :))))))

3 and 6,they both correspond each other and are equal,looking at how they r sort of opposite eac other.

DON'T JUDGE ME IF I'M WRONG IS BEEN 6 MONTHS SINCE I DID SOME MIDDLE SCHOOL MATH...

Help anyone can help me do the question,I will mark brainlest.​

Answers

Answer:

Step-by-step explanation:

14.

by pythagoras,s theorem

[tex]x=\sqrt{2^2+2^2} =\sqrt{8} =\sqrt{4 \times 2} =2\sqrt{2} \\y^2=x^2+2^2=(2\sqrt{2} )^2+2^2=8+4=12=4 \times 3\\y=2\sqrt{3}[/tex]

15.

first perpendicular=y(say)

and second perpendicular=z (say)

y²=9²+7²=81+49=130

z²=y²+5²=130+25=155

x²=z²+4²=155+16=171

x=√(171)

What is x in the diagram below?

Answers

Answer:

3rd option, 2√10

Step-by-step explanation:

x²=4×10

or, x=√(4×10)

or, x=2√10

Answer: C, 2√10

Step-by-step explanation:

in what interval is the function f(x)=squareroot x^2+5x+4 defined

Answers

9514 1404 393

Answer:

  (-∞, -4] U [-1, ∞)

Step-by-step explanation:

The quadratic expression factors as ...

  x^2 +5x +4 = (x +4)(x +1)

The zeros of this expression are where these factors are zero, at x=-4 and x=-1. The product is negative when one factor is negative and the other is positive, in the region -4 < x < -1. It is non-negative elsewhere. f(x) is defined where the quadratic is not negative, on the union of intervals ...

  (-∞, -4] U [-1, ∞)

Answer:

-4 <= x >= -1

Step-by-step explanation:

Find where x^2+5x+4 < 0, negative sq roots are imagingary numbers.

So factor

(x + 4) (x + 1) = 0

x = -4 and x = -1

so x must be <= -4 or x >= -1

the interval is

-4 <= x >= -1

May someone please help??

Answers

Answer:

your inequality signs are correct so i'll skip those

-2.06, .9803

.67, .7486

Step-by-step explanation:

1.)

To do this one you need to standardize x by subtracting the mean and dividng by the standard deviation

(1000-3262)/1100= -2.056 which i will round to -2.06

with this as our z value use the table to find the associated probability

.9803

2.)

Same process

(4000-3262)/1100=.67

which has a probability of .7486

Which of the following exponential equations is equivalent to the logarithmic
equation below?
X = In 7.2

Answers

Answer:

Hello,

Answer D

Step-by-step explanation:

[tex]x=ln(7.2)\\\\\Longleftrightarrow\ e^{x}=e^{ln(7.2)}\\\\\Longleftrightarrow\ e^{x}=7.2\\\\Answer\ D[/tex]

HELP PLEASE ITS URGENT PLEASE

Answers

Answer: 17

Step-by-step explanation:

Using Pemdas, simplify the exponents, and then solve the multiplication and division inside the parentheses before subtracting. 10-9 = 1 so 1*7 =7

10 +7 is 17.

also i hope this helps and i hope this is not a test...

Find the indicated side of the
triangle.
7
30°
b
a = [?]

Answers

Answer:

14

Step-by-step explanation:

you have opposite but need to find hypotenuse so you use SOH (sine=opposite/hypotenuse)

so sin(30)= 7/a

7/sin(30)=14

Hope its right

PLS HELP- please look at the picture below

Answers

9514 1404 393

Answer:

  1/3

Step-by-step explanation:

To find f(2), we need √(x+1) = 2. That means x+1 = 2^2, so x = 4-1 = 3.

Then f(2) = 1/x = 1/3.

A rectangle has a length of 8ft and a width of 9ft. What is the area of the rectangle, in ft^2?​

Answers

Answer:

72ft

Step-by-step explanation:

A=wl=9·8=72ft²

If the point (b,15) lies on the straight line with equation Y=5x fonde the value of b ?

Answers

Answer:

b = 3

Step-by-step explanation:

Substitute the y- coordinate 15 into the equation , that is

15 = 5x ( divide both sides by 5 )

3 = x

This is the x- coordinate of the point , so b = 3

HELP ASAP!!!

What is the geometric mean of 7 and 56?

Answers

Geometric Mean = √(ab)

a = 7

b = 56

Geometric mean = √(7×56)

After prime factorization of 56 we get 2 × 2 × 2 × 7

√(7×7×2×2×2)

7×2√2

14√2

Therefore the answer is option d

Must click thanks and mark brainliest

Answer:

I'll add this so that u can give that person brainliest ^^

find the surface area of the figure below. Round to the nearest tenth if necessary.​

Answers

Answer:

173.4 cm^2

Step-by-step explanation:

Surface area of the cone=pi*r*l+pi*r^2=pi*(4)*(9.8+4)=173.4 cm^2

I need help ASAP!!! Please explain how to solve the problem

Answers

Answer: The equation is [tex](x+4)^2 + (y-4)^2 = 9\\\\[/tex]

Center = (-4,4)

Radius = 3

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

Explanation:

This graph shows the circle's center is at (-4, 4)

Recall in general, the center is (h,k)

So we see that (h,k) = (-4,4). More specifically: h = -4 and k = 4.

The radius of this circle is r = 3 as this is the distance from the center to any point on the edge. For example, go from (-4,4) to (-1,4).

With the h, k and r values in mind, we then say the following:

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-(-4))^2 + (y-4)^2 = 3^2\\\\(x+4)^2 + (y-4)^2 = 9\\\\[/tex]

which represents the equation of this circle.

A new site offers a subscription that costs 28.50 for 6 months.what is unit rate price per month? show ur work

Answers

Answer:

The answer is 4.75

Step-by-step explanation:

Since six months is 28.50 then 1 month is equal to x

       28.50: 6 months

           x     : 1 month

 After this  you cross multiple so u divide by 6 both side to get 4.75

   6x/6: 28.50/6

   x=4.75

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