in how many ways can 4 mangoes and 3 apples be distributed among 7 children if each child receives only 2 fruit?

Answers

Answer 1

solution

this is what I did. total number of ways without any restriction =900. we have to subtract the case when at least one child doesn't get any fruit. let that be C1∪C2∪C3 and we use the principle of mutual inclusion and exclusion to find that. C1∪C2∪C3=C1+C2+C3−(all two intersections)+3 intersections (no one gets a fruit case) =3⋅60−3+1=178 so case where each child gets at least one fruit =900−178=722.

Is this right, someone saying answer =49

Related Questions

In ΔVWX, x = 30 inches, v = 89 inches and ∠W=130°. Find the area of ΔVWX, to the nearest square inch.

Answers

Answer:

1023 inches

Step-by-step explanation:

Area = (1/2)(a)(b)(sinA)

Area = (1/2) (30) (89) (sin 130)

Area = 1022.669332 or 1023

The area of triangle VWX, to the nearest square inch, is approximately 1023 square inches.

To find the area of triangle VWX, we can use the formula for the area of a triangle:

Area = (1/2) * base * height

In this case, we need to determine the base and height of triangle VWX.

The length of the base, WX, is given as x = 30 inches.

To find the height, we can use the formula for the area of a triangle:

Area = (1/2) * WX * VW * sin(W)

Given that ∠W = 130°, we can find the sine of the angle using a scientific calculator or trigonometric tables. Let's assume the sine of 130° is approximately 0.766.

Now, we have all the values we need to calculate the area:

Area = (1/2) * 30 * 89 * 0.766 ≈ 1023 square inches

Therefore, the area of triangle VWX, to the nearest square inch, is approximately 1023 square inches.

To know more about triangle:

https://brainly.com/question/2773823

#SPJ6

according to the weather report, what is the chance of rain or snow?
A. 10%
B. 90%
C. 50%
D. 6%

Answers

Answer:

50? or together will be 90?

Just add the two ratios 48+42=90%

Hope you get it :)

Will give brainliest

Find the probability that a randomly
selected point within the circle falls
in the white area.
W
r = 4 cm
4√2 cm
[? ]%
Round to the nearest tenth of a percent.

Answers

Answer:

The probability that a randomly selected point within the circle falls in the white area is approximately 36.3%

Step-by-step explanation:

The given parameters of the area are;

The length of the radius of the circle, r = 4 cm

The length of the side of the inscribed quadrilateral, s = 4·√2 cm

The diagonals of the inscribed quadrilateral = 2 × The radius of the circle

∴ The diagonals of the inscribed quadrilateral are equal and given that the sides of the quadrilateral are equal, the quadrilateral is a square

The probability that a randomly selected point within the circle is white is given by the ratio of the white area to the brown square area as follows;

The white area = The total area - The area brown square

The total area, A = The area of the circle with radius, r = π·r²

∴ A = π·(4 cm)² = 16·π cm²

The area of the brown square, Asq = s² = 4·√2 cm × 4·√2 cm = 32 cm²

The white area, Aw = 16·π cm² - 32 cm² = 16·(π - 2) cm²

The probability that a randomly selected point within the circle falls in the white area is therefore;

[tex]P(W) = \dfrac{A_W}{T_A} = \dfrac{16 \cdot (\pi - 2) \, cm^2}{16 \cdot \pi \, cm^2 } \times 100= \left (1 - \dfrac{2}{\pi}\right) \times 100 \approx 36.338022763241865692 \%[/tex]

By rounding to the nearest tenth of a percent, we have;

The probability that a randomly selected point within the circle falls in the white area, P(W) ≈ 38.3%.

(Click on Photo, I’ll mark as Brainliest!)

Answers

Ok I did, do you need me to tell you the answers for the missing ones? Let me know, I can just do it in the calculator haha

Anyone know the answer

Answers

Step-by-step explanation:

[tex]4x - 16 + 2x + 16 = 180 \\ 6x = 180 \\ x = 30[/tex]

Step-by-step explanation:

A straight line has 180° so we can set

4x-16+2x+16=180

6x=180

x=30

Hope that helps :)

AHHH HELP ILL GIVE BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

B) $37.50 for 3 hours

40x +16y = ( + )
plz help me

Answers

Answer:

Write in Slope-Intercept Form

Graph

Find the x and y Intercepts

Find the Slope

Find the Slope and y-intercept

Write in y=mx+b Form

Write in Standard Form

Translate this sentence into an equation.

54 is the sum of 15 and Jenny's age.

Use the variable j to represent Jenny's age.

Answers

Answer:

54= 15 + J

Step-by-step explanation:

j= 39

On a certain hot summer's day, 321 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $634.25. How many children and how many adults swam at the public pool that day?

Answers

Answer:

31 children and 290 adults

Step-by-step explanation:

Let a = number of adults and c = number of children.

a + c = 321

2a + 1.75c = 634.25

Multiply both sides of the the first equation by -2 and add it to the second equation.

-2a - 2c = -642

(+) 2a + 1.75c = 634.25

--------------------------------------

-0.25c = -7.75

Divide both sides by -0.25

c = 31

Use the first equation to find a.

a + c = 321

Substitute 31 for c.

a + 31 = 321

Subtract 31 from both sides.

a = 290

Answer: 31 children and 290 adults

120 children and 388 adults bought tickets for the swimming pool
Explanation:
Create two simultanous equations:
Let c stand for the number of children that bought a ticket, and a stand for the number of adults that bought a ticket, you get your first equation, being
c
+
a
=
508
then, you now create a second equation for the prices of the tickets.
(price of childrens tickets)(number of children that swam)+(price of adults tickets)(number of adults that swam) = total money collected
so:
1.75
c
+
2.25
a
=
1083.00

now we still know, that
a
=
508
−
c

so we can substitute it into the second formula
1.75
c
+
2.25
(
508
−
c
)
=
1083

now its just simple algebra
1.75
c
+
1143
−
2.25
c
=
1083

60
=
0.5
c
so:
c
=
120
now we know, that 120 children went to the swimming pool.
and we still have the formula from before:
a
=
508
−
c
so
a
=
388

a maintence worker is replacing worn rope on 6 flagpoles.The worker needs 40 feet of rope for each flagpole.At the hardware store,rope is sold by the yard.how many yards of rope does the worker need to buy for all flagpoles

Answers

Answer: 80

Step-by-step explanation:

Do 6 x 40=240 to find the amount of rope needed in ft

Do 240 divided by 3 to convert to yards

Find the indicated limit, if it exists. limit of f of x as x approaches 0 where f of x equals 5 x minus 9 when x is less than 0 and the absolute value of the quantity 2 minus x when x is greater than or equal to 0 -9 -7 2 The limit does not exist.

Answers

Answer:

The limit does not exist

Step-by-step explanation:

The first step would be to try to evaluate the functions at x = 0

5x - 9 => 5(0) - 9 = -9

| 2 - x | => | 2 - 0 | = 2

So they can be evaluated at x = 0, and it gives two different answers so the limit does not exist

Answer:

The limit does not exist

Step-by-step explanation:

By evaluating both functions we see that we get -9 and 2, because they are not equal to each other the limit does not exist.

A triangular prism with dimensions is shown below.
5 ft
3 ft
8 ft
What is the volume of the triangular prism in cubic feet?
O A. 120 ft
O B. 20 ft
O C. 40 ft?
O D. 60 ft

Answer:

x=23

Step-by-step explanation:

x+15=38 (we subtract 15 from both sides to get x alone on one side)

x=23

Answer:

Step-by-step explanation:

Subtract 15 by both sides to get X by itself and you get your answer!

The perimeter of the figure below is 54.9 in. Find the length of the missing side.
5.9 in
5.9 in
?
7.3 in
7.3 in
7.3 in
7.3 in
7.3 in

Answers

7.3 x 5 = 36.5 and 5.9 x 2 = 11.8
so 36.5 + 11.8 = 48.3 and
54.9 - 48.3 = 6.6

100 POINTS AND DOING BRAINIEST create a factorable polynomial with a GCF of 6 rewrite that polynomial in two other equivalent forms explain how each form was created. Please help

Answers

Answer:

100 point sheeshhh ill take em but i don't have awnsers m8

HURRY FAST LOOK AT THE PHOTO TRUE OR FALSE

Answers

That is true. 4 and 5 are corresponding angles.

What is the value of d and w?

Answers

Answer:

d = 65

w = 55

Step-by-step explanation:

w + 90 + 35 = 180

w + 125 = 180

w = 55

35 + x = 60 (Vertical angle thm)

x = 25

d + x = 90

d + 25 = 90

d = 65

Given P(A) = 0.4, P(B) = 0.58 and P(A|B) = 0.5, find the value of
P(A and B), rounding to the nearest thousandth, if necessary.

Answers

By definition of conditional probability,

P(A | B) = P(A and B) / P(B)

P(A and B) = P(A | B) P(B) = 0.5 × 0.58 = 0.29

Given that n is an integer and 0 < 4n <30, what is the sum of all possible integer values of n

Answers

n can be all the way upto 7 as 8 x4 = 32 which is higher than 30. The lowest possible diggit is 1.

n = 1, 2, 3, 4, 5, 6, 7

The answer to the question

Answers

Answer:

I am pretty sure this is gonna be the 3rd anwser

Answer:

The answer is C aka 3(5)^6

Step-by-step explanation:

Zafira drinks 4 fluid ounces of orange juice each morning. Which equation can be used to find m, the number of mornings it will take her to drink 4 cups of orange juice.

Answers

Answer:

Step-by-step explanation:

m = (4×8) ÷ 4

m = 8 mornings

Question is attached. Thanks

Answers

Answer:

The third one

Step-by-step explanation:

The third one is the answer !

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in how many ways can 4 mangoes and 3 apples be distributed among 7 children if each child receives only 2 fruit?​

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in how many ways can 4 mangoes and 3 apples be distributed among 7 children if each child receives only 2 fruit?