1answer.
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
LenaWriter [7]
3 years ago
8

If they want a sample committee consisting of four male and four female students, from a possible volunteer pool of eight male a

nd seven female students, how many ways can this committee be formed?
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
5 0

Answer:

There are 2450 ways.

Step-by-step explanation:

We can pick first the 4 man, and then the 4 women. The configuration of men and women are independant with each other, so the total of possibilities is obtained by multiplying the total possibilities to pick 4 men and the total possibilities of picking 4 women.

To pick 4 men from a group of 8, the total number of possibilities is the amount of ways to pick 4 elements from a group of 8. This number is represented by the combinatorial number of 8 with 4

{8 \choose 4} = \frac{8!}{4!4!} = 70

To pick 4 women from a group of 7, we need to count the total amount of ways to pick 4 elements from a group of 7. This is the combinatorial number of 8 with 7

{7 \choose 4} = \frac{7!}{4!3!} = 35

Hence, the total amount of ways to pick 4 men and 4 women from a group of 8 men and 7 women is 70*35 = 2450.

You might be interested in
Interest = $45.60, Rate = 2%, Time = 4 years<br> What’s the principal to the nearest cent
natita [175]

Answer:

$570

Step-by-step explanation:

I=PRT/100

I=$45.60,P=?,R=2%,T=4years

make P the subject of the formula

P=100I/RT

P=100x45.60/2x4

P=4560/8

P=$570

5 0
3 years ago
30 points for whoever gets it right! !!
kramer
3)
GCF of 18 and 22 is 2
GCF of 25 and 50 is 25
GCF of 54 and 36 is 18
GCF of 40 and 8 is 8
GCF of 16 and 24 is 8
4) 
GCF of 10 and 15 is 5
GCF of 24 and 30 is 6
GCF of 8 and 10 is 2
GCF of 5 and 24 is 1
GCF of 24 and 40 is 8
5)
GCF of 8 and 12 is 4
GCF of 15 and 4 is 1
GCF of 20 and 4 is 4
GCF of 3 and 24 is 3
GCF of 12 and 4 is 4
6) 
GCF of 15 and 2 is 1
GCF of 12 and 30 is 6
GCF of 4 and 30 is 2
GCF of 6 and 40 is 2
GCF of 10 and 2 is 2
6 0
3 years ago
Bill went on a very long run, so he ran kind of slowly. He ran 2 miles in 30 minutes. How many miles would he run in three hours
FromTheMoon [43]

Answer:

12 miles

Step-by-step explanation:

There are 3 hours = 180 minutes

180÷30=6

6×2=12

Hope that helps!

7 0
2 years ago
In each diagram, line p is parallel to line f, and line t intersects lines p and f. Based on the diagram, what is the value of x
ololo11 [35]
X would be 84 degrees, since its corresponding angle would be worth 84.
Hope this helped!
4 0
3 years ago
The price of a stock dropped 20% in one month the following month it’s price increased by 20% is the stock above or below it’s s
MArishka [77]
The price of the stock is below its starting price because the price will decrease before it increases
5 0
3 years ago
Other questions:
  • Write the complex equation 8 + 3i in trigonometric form
    13·1 answer
  • Mrs garcia is is 1 year less than 3 times as old as her daughter. seven years from now, she will be 4 years more than twice as o
    7·1 answer
  • A player made 24 out of 40 free throws. What is the probability that the player will make her next free throw?
    9·1 answer
  • How do i solve this?
    12·1 answer
  • Write each improper fraction as a mixed number in simplest form -72/27=
    8·1 answer
  • (4x^5 + 3x^2 – x^4) +(6x^2 - 2x^5)
    12·2 answers
  • 8. Paris used a semicircle, a rectangle, and a right triangle to form the figure shown.
    9·1 answer
  • X^2 +3x+37=0 Help solve
    9·1 answer
  • 600 can be written as 2^a x b x c^d. where a, b, c and d are all prime numbers. find the values of a, b, c and d
    14·1 answer
  • If the equation is further simplified, which equation for a parabola does it become? x2 = 4py x2 = 2y2 2p2 y2 = 4px y2 = 4py.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!