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
scoray [572]
3 years ago
7

The Mathematics Department at Sun Tan University is sending a delegation of mathematicians and graduate students to a conference

. They will pay for 4 mathematicians and 5 graduate students to go. If the department has 16 mathematicians and 24 graduate students, how many different delegations are possible?
Mathematics
1 answer:
castortr0y [4]3 years ago
5 0
Since order does not matter, we use combinations to find the total number of delegations.
We have 4 out of 16 mathematicians: 16C4
And 5 out of 24 graduate students: 24C5
Multiplying: 16C4 x 24C5
= 16!/(12!4!) * 24!/(19!5!)
= (16*15*14*13)/(4*3*2) * (24*23*22*21*20)/(5*4*3*2)
= 77,357,280 delegations
You might be interested in
Gale's Shipping Company charges $3.00 plus an additional $5.00 per pound to ship a package. Peeta's Shipping Company charges $12
AURORKA [14]

Answer:

Gale's Shipping Company Cost, y=$(3+5x)

Peeta's Shipping Cost, y=$(12+2x)

Step-by-step explanation:

Let the number of pounds being shipped=x

Gale's Shipping Company charges $3.00 plus an additional $5.00 per pound to ship a package.

Gale's Shipping Company Cost =  $3.00 + ($5.00 X Number of Pounds)

Gale's Shipping Company Cost, y=$(3+5x)

Peeta's Shipping Company charges $12.00 plus an additional $2.00 per pound to ship a package.

Peeta's Shipping Cost =  $12.00 + ($2.00 X Number of Pounds)

Peeta's Shipping Cost, y=$(12+2x)

8 0
3 years ago
A two column table with 5 rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has th
Bezzdna [24]

Answer:

The <em>correct</em> answer is y = <u>3</u>x + <u>1</u>.

Step-by-step explanation:

I did the assignment, and it was correct. Hope it helps!

8 0
2 years ago
Read 2 more answers
Solve<br> 5x = 2<br> Write answer as a fraction in its simplest form
Rudiy27

Answer:

⅖

Step-by-step explanation:

5x = 2

x = ⅖

⅖ can't be simplified further

4 0
3 years ago
Read 2 more answers
What is 33 over 55 and how do you simplify it.
Sergeu [11.5K]
\frac{33}{55}= \frac{33\div11}{55\div11}=\boxed {\frac{3}{5}   }
8 0
3 years ago
Read 2 more answers
Please help asap 25 pts
damaskus [11]

\text{The formula of a perimeter of a rectangle:}\\\\P=2(w+l)\\\\\text{we have}\\w:l=3:2\to w=\dfrac{3}{2}l,\ P=55\ cm\\\\\text{substitute}\\\\55=2\left(\dfrac{3}{2}l+l\right)\\\\55=2\cdot\left(\dfrac{3}{2}l+\dfrac{2}{2}l\right)\\\\55=2\cdot\dfrac{5}{2}l\\\\55=5l\ \ \ \ \ |:5\\\\l=11\ cm\\\\w=\dfrac{3}{2}\cdot11=\dfrac{33}{2}=16.5\ cm\\\\Answer:\ b.\ 11\ cm,\ 11\ cm,\ 16.5\ cm,\ 16.5\ cm

4 0
3 years ago
Read 2 more answers
Other questions:
  • Which number line can be used to find the distance between (4, -1) and (8,-1)?
    11·2 answers
  • 4/16 Being Reduced Is ?
    11·1 answer
  • Slader records show that the average life expectancy of a pair of shoes is 2.2 years with astandard deviation of 1.7 years. A ma
    7·1 answer
  • A window shaped like a parallelogram has an area of 18 1/3 square feet. The height of the window is 3 1/3 feet. How long us the
    11·1 answer
  • En un triángulo rectángulo A es un ángulo agudo y Sen A = 4/5 ¿Cuál será el valor de Tan A?
    14·1 answer
  • The school hiking club has completed 4 out of 5 hikes so far this year. They have hiked 4.6 miles, 3.7 miles, 5.1 miles, and 2.9
    8·1 answer
  • Uhh pls help I got 3 mins left
    7·1 answer
  • SOMEONE PLEASE HELP IM JUST DONT QUIT UNDERSTAND THIS!! You want to use a questionnaire to determine the most desired characteri
    10·1 answer
  • This year, the Newville Tigers won six games more than the Wilton Panthers won. The Tigers won 22 games. Which equation cannot b
    10·1 answer
  • Given the arithmetic sequence where a_{1} = - 5 and d = 6 , what is a_{5} ?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!