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
anzhelika [568]
3 years ago
12

A committee consisting of 4 faculty members and 5 students is to be formed. Every committee position has the same duties and vot

ing rights. There are 10 faculty members and 13 students eligible to serve on the committee. In how many ways can the committee be formed?
Mathematics
1 answer:
Zina [86]3 years ago
7 0

<u>Answer: </u>

The number of ways to form the committee is formed = 637065

<u>Solution: </u>

The number of combinations of n things such that m things taken together are given by:-

C_{(\boldsymbol{n}, \boldsymbol{m})}=\frac{n !}{m !(\boldsymbol{n}-\boldsymbol{m}) !}

Given Data:

A committee consisting of 4 faculty members and 5 students is to be formed.  There are 12 faculty members and 13 students eligible to serve on the committee.

Then, the number of ways to form the committee is formed given by :-

\begin{array}{l}{12 C_{4} \times 13 C_{5}} \\\\ {=\frac{12 !}{4 !(12-4) !} \times \frac{13 !}{5 !(13-5) !}} \\\\ {=\frac{12 !}{4 ! 8 !} \times \frac{13 !}{5 ! 8 !}} \\\\ {\frac{12 \times 11 \times 10 \times 9 \times 8 !}{27 \times 8 !} \times \frac{13 \times 12 \times 11 \times 10 \times 9 \times 8}{120 \times 8 !}} \\\\ {=637065}\end{array}

Hence, the number of ways to form the committee is formed = 637065

You might be interested in
The graph shows a proportional relationship between the number of workers and weekly cost, in dollars, for a company in its firs
Mekhanik [1.2K]

Answer:

increase

Step-by-step explanation:

It increased because if the graph is proportional the graph will continue to increase the dollars since the company is earning dollars, not losing it.

3 0
3 years ago
Read 2 more answers
What is the length of side AB of parallelogram ABCD?<br> units<br> 4g - 8<br> B<br> q+4
Andrews [41]

Answer:

8 units

Step-by-step explanation:

» <u>Concepts</u>

Parallelogram Side Theorem states that the opposite sides of a parallelogram are congruent, meaning they have the same length.

» <u>Application</u>

In this case, we're asked to apply the theorem to find the value of q and then find the length of AB. Thus, we have to set up the equation 4q - 8 = q + 4.

» <u>Solving</u>

Step 1: Subtract q from both sides.

  • 4q-8-q=q+4-q
  • 3q-8=4

Step 2: Add 8 to both sides.

  • 3q-8+8=4+8
  • 3q=12

Step 3: Divide both sides by 3.

  • 3q/3 = 12/3
  • q=4

Step 4: Plug in the value of q for side AB.

  • 4(4)-8
  • 16-8
  • 8

Therefore, the answer is 8 units.

6 0
2 years ago
Please solve thanks lovee
Bumek [7]

Answer:

m∠1 = 93.5°

Step-by-step explanation:

By theorem of intersecting chords inside a circle,

If two chords intersect inside a circle, angle formed between the chords measure half the sum of the measures of the intercepted arcs.

m∠1 = \frac{1}{2}(92+95)

       = \frac{187}{2}

       = 93.5°

Therefore, measure of angle 1 is 93.5°.

4 0
3 years ago
Write <br> 0.925<br><br> as a fraction in simplest form.
Sliva [168]

Answer: 37/40

Step-by-step explanation: 0.925 = 925/1000

= 925/1000

= 185/200

= 37/40

Hope it helped u,

pls mark as the brainliest

^_^

8 0
3 years ago
There are 7 girls on a bus. each girl has 7 backpacks. each backpack has 7 big cats. each big cat has 7 little cats. how many le
Vera_Pavlovna [14]
7 girls on a bus, each has two legs. 7 * 2 = 14. 

Each girl has 7 backpacks. So 7 * 7 = 49. 

49 * 7 = 343 cats in total 

343 * 4 = 1,372 cat legs. 

343 * 7 = 2401 small cats 

2401 * 4 = 9,604 cat legs 

14 + 1,372 + 2,401, + 9,604 = 10,990 legs in total
6 0
3 years ago
Read 2 more answers
Other questions:
  • How do box and whisker plots work?
    8·2 answers
  • What is 12×12×13 please answer <br> I am too lazy to do the math
    11·2 answers
  • Need help:(.... Simplify (b^5)^2
    14·2 answers
  • 14. A computer originally costs $1550 is on sale for 15% off. How much is
    11·1 answer
  • Find the length of segment JK with endpoints J(4, 8) and K(-1, -2). Leave the answer as a radical. Simplify if necessary
    6·1 answer
  • Eliminate the x and y
    7·1 answer
  • -2x(-3x +2)- (x+2)2<br> giúp tôi với!
    5·2 answers
  • What is the slope of the line that passes through the points (0,-10) and (-4,-11)? Write your answer in simplest form.
    6·1 answer
  • PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!
    5·2 answers
  • Please i really need help, i really need this i will give a brainliest to the people that answer correctly
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!