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
fgiga [73]
3 years ago
5

How many ways are there to choose a committee of 7 people from a group of 10 people?7201208405040?

Mathematics
1 answer:
lyudmila [28]3 years ago
5 0

Answer: 120

---------------------------------------------------------------------------------------

Explanation:

We have seven slots to fill. Let's call the slots A, B, C, D, E, F, G

There are 10 choices for slot A

There are 9 choices for slot B

There are 8 choices for slot C

There are 7 choices for slot D

There are 6 choices for slot E

There are 5 choices for slot F

There are 4 choices for slot G

We count down because each previous slot reduces the pool to choose from. Multiply those values out: 10*9*8*7*6*5*4 = 604800

Now divide that result by 5040. Why 5040? Because this is the number of ways to arrange 7 people within a single grouping. Note how 7! = 7*6*5*4*3*2*1 = 5040. W're dividing because order does not matter for any committee.

So we have 604800/5040 = 120 which is the answer we want

---------------

Side note: We could use the alternate route of the nCr combination formula

nCr = (n!)/(r!*(n-r)!)

where n = 10 and r = 7


You might be interested in
Round fuis number 5,731 to the nearest 100
Reil [10]
5700 is 5731 rounded to the nearest hundred
8 0
3 years ago
Read 2 more answers
Kyoko is reading a book by her favorite author. She read the first 20 pages in One-half of an hour. Reading at the same pace, Ky
eduard

Answer:

It will take her 3 hours to read 120 pages.

Step-by-step explanation:

The number of pages read(y) after x hour can be modeled by a linear function in the following format:

y = ax + b

In which a is the number of pages read per hour and b is the initial number of pages read.

A straight line goes through (0, 0)

This means that when x = 0, y = 0

So

y = ax + b

0 = a*0 + b

b = 0

(0.5, 20)

When x = 0.5, y = 20

So

y = ax

20 = 0.5a

a = \frac{20}{0.5}

a = 40

The function in:

y(x) = 40x

According to the graph, which statement must be true?

It will take her 2 hours to read 60 pages.

y(2) = 40*2 = 80

Less than 2 hours for 60 pages, so this is false.

It will take her 3 hours to read 120 pages.

y(3) = 40*3 = 120

This statement is true.

It will take her 4 hours to read 180 pages.

y(4) = 40*4 = 160

More than 4 hours to read 180 pages. So false.

It will take her 5 hours to read 210 pages.

y(5) = 40*5 = 200

More than 5 hours to read 210 pages. So false.

6 0
3 years ago
What is the domain of ƒ(x) if ƒ(x) = 1 x – 4?
Alina [70]
The domain would negative infinity to positive infinity . Domain would be the smallest through the largest possibly value of X. If you also need the range it’s ( -4,infinity]
3 0
3 years ago
A subway train makes six stops of equal length during its 21 km run. The train is actually moving for 20 minutes of the trip. At
photoshop1234 [79]

Answer:

The subway train can stop for a maximum of 2.5 minutes on each stop.

Step-by-step explanation:

3 0
3 years ago
Select the correct answer which function is increasing at the highest rate?
saw5 [17]

Answer:

D.since the gragh is linear

4 0
3 years ago
Other questions:
  • A map has a scale of 1 inch to 15 miles . If 2 cities are 3.4 inches apart on the map , what is the actual distance between the
    6·2 answers
  • !!!!!!!!!!!!!!!!!!!!!!!!!! Plz
    6·1 answer
  • the area of a rectangular court is 433.37 square meters, and the length of the court is 28.7 meters. what is the width of the co
    15·1 answer
  • What is the range of the following relation?<br>{(5,0), (6, -1), (1, 4), (0,5), (2,3)}<br>​
    5·1 answer
  • A=(whole number less than 6)​
    9·1 answer
  • Someone h e l p me on this it is geometry
    5·1 answer
  • Calculate the area of each shape below. Figures are not drawn to scale.
    12·1 answer
  • What is the growth factor of the following example? Assume time is measured in the units given.
    11·1 answer
  • Which expression is equivalent to 6r - 10 + 3r – 2?
    9·2 answers
  • Write −12 as a ratio of two integers.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!