answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
balandron [24]
2 years ago
9

Twenty-one boys and eight girls go on a camping trip. In how many ways can a group of six be selected to gather firewood, given

the following conditions?
(a) The group consists of two girls and four boys.


(b) The group contains at least two girls.
Mathematics
1 answer:
lorasvet [3.4K]2 years ago
6 0
(a)  there are 8C2  = 28 ways of picking 2 girls from 8
And there are  21C4  =  5985 ways of picking 4 boys

Required number of ways for 2g / 4b  = 28 * 5985 =  167,580 

(b) at least 2 girls means  combinations of 2g/4b , 3g,3b , 4g/2b , 5g 1b or 
6 girls.

2g/4b  = 167,580 ways
3g/3b =  8C3 * 21C3 =  56 * 1330 = 74,480
4g/2b =  8C4* 21C2  =   70 * 210 = 14,700 
5g 1b = 8C5* 21 =  56*21 = 1176
6 girls  = 8C6 = 28

adding these up we get the answer to (b) which is  257,964

You might be interested in
If 2.5 mol of dust particles were laid end to end along the equator, how many times would they encircle the planet? The circumfe
Natalka [10]

Answer:

They encircle the planet 3.76\times 10^{11} times.

Step-by-step explanation:

Consider the provided information.

We have 2.5 mole of dust particles and the Avogadro's number is 6.022\times 10^{23}

Thus, the number of dust particles is:

2.5\times 6.022\times 10^{23}=15.055\times 10^{23}

Diameter of a dust particles is 10μm and the circumference of earth is 40,076 km.

Convert the measurement in meters.

Diameter: 10\mu m\times \frac{10^{-6}m}{\mu m} =10^{-5}m

If we line up the particles the distance they could cover is:

15.055\times 10^{23}\times 10^{-5}=15.055\times 10^{18}=1.5055\times 10^{19}

Circumference in meters:

40,076km\times \frac{1000m}{1km}=40,076,000 m

Therefore,

\frac{1.5055\times 10^{19}}{40,076,000} = 3.76\times 10^{11}

Hence, they encircle the planet 3.76\times 10^{11} times.

8 0
2 years ago
Based on the graph shown to the right, whose phones cost varies directly with the amount of time spent talking?
Lena [83]

Answer:

B

Step-by-step explanation:

Given 2 quantities that vary directly, then the graph must pass through the origin.

Nikiya's graph is the only one to do this ⇒ B



8 0
2 years ago
Read 2 more answers
What is the value of x in simplest radical form?
Ostrovityanka [42]
In this case, we will use our Pythagorean Theorem.

a = 84
b = 13
c = x

\sqrt{84^2 + 13^2} = 85

Thus, x = 85.
8 0
2 years ago
Read 2 more answers
Which pair of expressions has equivalent values? 1 Superscript 13 and 1 Superscript 15 6 Superscript 1 and 9 Superscript 1 7 Sup
lora16 [44]

Answer:

1 Superscript 13 and 1 Superscript 15

Step-by-step explanation:

The process of exponentiation can be mathematically written as:

a^b

where a is called the base, and b is called the exponent.

Basically it means that we have to multiply the base with itself as many times as the value of the exponent.

For example 2^4 is 2•2•2•2

Having this in mind, 1^13 and 1^15 have equivalent values, because no matter how many times we multiply 1 with itself it will always be equal to 1.

8 0
2 years ago
Read 2 more answers
A hot tub pump circulates 4 cubic feet of water per minute. How many cubic inches of water does it circulate each minute?
Dima020 [189]

Answer:

48 Cubic Inches

Step-by-step explanation:

One foot, whether it be squared, cubed, or otherwise changed, will always equal twelve inches to the same power. So, 4 cubic feet is 48 cubic inches because 4*12=48

5 0
2 years ago
Other questions:
  • Maria’s family hosts a barbeque every month in the summer. In May, they bought 3.2 pounds of hamburger and 3 packages of hot dog
    6·2 answers
  • The ideal width of a certain conveyor belt for a manufacturing plant is 50 in. Conveyor belts can vary from the ideal width by 7
    9·1 answer
  • What is the formula to find alpha square minus beta square?<br>I need help in Q 1)(i).
    14·1 answer
  • A basketball player that shoots 80% from the free throw line attempts two free throws. The notation for conditional probability
    14·1 answer
  • The instructor’s friend also plans to rent an apartment in the same complex. Use the graph to identify the y-intercept and the s
    12·2 answers
  • 20 hours put into degrees?
    15·1 answer
  • The speed of light is 3 x 108 m/s. If its frequency is 4.11 x 104 Hz, what is its wavelength?
    11·1 answer
  • Anna and Veronica are on the opposite sides of a tower of 160 meters height. They measure the angle of elevation of the top of t
    5·1 answer
  • On​ average, a bird visits 1,170 flowers per day for nectar.
    12·1 answer
  • A rectangular yard is enclosed by 100 meters of fencing. The table shows some possible values for the length and width of the ya
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!