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
(7-4) *5/3 I need help *= multiply /= division
VMariaS [17]

Answer:

5

Step-by-step explanation:

First u minus (because of these () ) witch is 3 and \frac{5}{3}  is a fraction so u do 3×\frac{5}{3} (u see that its not a ÷ sign because its a fraction) witch equals to 5

7 0
3 years ago
The riding lawn mower that Alejandro has on his farm has a top speed of 8 kilometers per hour. What is the lawn mower’s top spee
Archy [21]

Answer:

Since 1 km = 1000 m, the lawnmowers top speed would be 8000 m/h.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
in a survey of 1500 people who owned a certain type of car, 1050 said they would buy that type of car again. what percent of the
Reptile [31]

Answer:

70%

Step-by-step explanation:

Since 1050 were satisfied.....1050/1500=.7 tun into percent u get 70%

3 0
3 years ago
At a certain high school, 35 students play only stringed instruments, 10 students play only brass instruments, and 5 students pl
Sophie [7]

Answer:

9/11

Step-by-step explanation:

Well we know there are 55 students in total and only 45 of them can either play a string or brass instrument.

So 45/55 is 9/11

Thus probably is 9/11 of a randomly selected student who plays either a string or brass.

5 0
2 years ago
1. Solve for x. Then find the angle measures of the<br>triangle?<br>(4x)<br>(6x+55)<br>(9x+30)​
nalin [4]

Answer:

x =  5.

First angle = 20°,  Second angle = 85°,  Third angle  = 75°

Step-by-step explanation:

The first angle of the triangle  =  (4 x)

The second  angle of the triangle  =  (6x + 55)

The third angle of the triangle  =  (9x + 30)

By ANGLE SUM PROPERTY of a triangle:

First angle + Second  angle +  Third angle  = 180°

⇒ (4 x)  + (6x+55)   +  (9x+30)​  = 180°

or, (4x + 6x + 9x) + ( 55 + 30) =  180°

or, 19x = 180 - 85

or, 19 x  = 95   ⇒ x = 95 /19 = 5

or, x = 5

Hence, first angle of the triangle =  (4 x) = 4 x 5 = 20°

Second angle = ( 6x + 30)  = 6(5) + 55 = 85°

Third angle = (9x  + 30  = 9(5) + 30 = 75°

8 0
3 years ago
Other questions:
  • What are the solutions of x^2=13x-4
    5·1 answer
  • A trail mix recipe asks for 4 cups of raisins for every 6 cups of peanuts. There is proportional relationship between the amount
    8·2 answers
  • Consider the function f(x) = 5(x - 4) + 9. Determine f(2b).
    12·1 answer
  • 3 roads, a, b, and
    6·1 answer
  • The average temperature of New York in the month of July is 76 degrees F and in the month of January is 35 degrees F. What is th
    9·1 answer
  • Explain how solve 4x + 3 = 7 using the change of base formula log base b of y equals log y over log b. Include the solution for
    6·1 answer
  • Find the slope VU <br> Helppppppp pleaseee
    6·2 answers
  • Basic algebra. PLease help!!!
    9·2 answers
  • What is m2 2 + m_3? I need the answer please help
    10·1 answer
  • Can someone please help me please?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!