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RoseWind [281]
2 years ago
5

To

Mathematics
1 answer:
jolli1 [7]2 years ago
3 0

Answer:

6

Step-by-step explanation:

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A group of school children consist of 25 boys and 18 girls. how many ways are there:
Serhud [2]

Answer:

Step-by-step explanation:

1. Number of boys in the group = 25

Number of girls in the group = 18

Total children = 25 + 18 = 43

Number of ways to arrange the children in a way = 43!

2. If we consider all the boys as an individual then number of ways children can be arranged = 19!

Number of ways boys can sit next to each other = 25!

So the number of ways can be arranged = 19!×25!

3. Number of ways boys can sit next to each other = 25!

Number of ways girls can sit next to each other = 19!

Then number of ways to arrange the children in a row with all boys next to each other and all the girls next to each other will be = 2 × 18! × 25!

4. 1. To choose a chess team if anyone can be chosen

= ^{43}C_{6}

= 6096454

4. 2. Exactly 2 girls must be chosen then number of ways

= ^{18}C_{2}\times ^{25}C_{4}=1935450

4. 3. At least two boys must be chosen

= ^{25}C_{2}\times ^{18}C_{4}+^{25}C_{3}\times ^{18}C_{3}+^{25}C_{4}\times ^{18}C_{2}+^{25}C_{5}\times ^{18}C_{1}+^{25}C_{6}

= 5863690

8 0
3 years ago
Identify the domain of the function shown in the graph
inna [77]
The answer is x \geq 0 because there are no images of x before 0.
6 0
3 years ago
Read 2 more answers
Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends a
Elis [28]

Answer:

Equation: 3x + 2 = 50

# of friends: 16

Step-by-step explanation:

3 chocolates each or 3x because what "each" means is not known yet-

3x

<em>Note: Always use x for an unknown value</em>

2 remaining chocolates-

3x + 2

50 total chocolates-

3x + 2 = 50

Remove two to keep the x alone-

3x = 48

Remove the 3 or the "Coefficient" by dividing-

48/3 = 16

x = 16

Equation: 3x + 2 = 50

# of friends: 16

8 0
3 years ago
Lara wrote the statements shown in the chart below:
Brums [2.3K]

Answer:

Option 4:

Statement 1 and Statement 2 are theorems because they can be proved.


7 0
3 years ago
Read 2 more answers
Acar can travel 25 miles per gallon. Approximately how many gallons of fuel will the car need to travel 30
FrozenT [24]

Answer:

The gallons of fuel car need to travel 30 km is <u>0.75</u> approximately .

Step-by-step explanation:

Given:

The car can travel 25 miles per gallon. (1 mile = 1.6 km)

Now, we need to convert 25 miles into km .

25 miles = 25 × 1.6 km

              = 40 km

So, the car can travel 40 km per gallon.

Then, we find out in 1 km how many gallons are used:

40 km = 1 gallons

1\ km = \frac{1}{40}\ gallons

1\ km = 0.025\ gallons

Now, we find out how much gallons of fuel will the car need to travel 30 km:

Gallons of fuel the car need to travel 30 km = 30\times 0.025

                                                                         = 0.75 gallons.

Therefore, the gallons of fuel car need to travel 30 km is 0.75 approximately.

6 0
3 years ago
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