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
frez [133]
3 years ago
6

Suppose you are managing 16 employees, and you need to form three teams to work on different projects. Assume that all employees

will work on a team, and that each employee has the same qualifications/skills so that everyone has the same probability of getting choosen. In how many different ways can the teams be chosen so taht the number of employees on each project are as follows:
a. 5
b. 1
c. 10
Mathematics
1 answer:
valentina_108 [34]3 years ago
3 0

Answer:

4380 ways

Step-by-step explanation:

We have to form 3 project of 16 employees, they tell us that the first project must have 5 employees, therefore we must find the number of combinations to choose 5 of 16 (16C5)

We have nCr = n! / (R! * (N-r)!)

replacing we have:

1st project:

16C5 = 16! / (5! * (16-5)!) = 4368 combinations

Now in the second project we must choose 1 employee, but not 16 but 11 available, therefore it would be to find the number of combinations to choose 1 of 11 (11C1)

2nd project:

11C1 = 11! / (1! * (11-1)!) = 11 combinations

For the third project we must choose 10 employees, but since we only have 10 available, we can only do a combination of this, since 10C10 = 1, therefore:

3rd project: 1 combination

The total number of combinations fro selecting 16 employees for each project would be:

4368 + 11 + 1 = 4380 combinations, that is, there are 4380 different ways of forming projects with the given conditions.

You might be interested in
How to find x and y I dont understand
lesantik [10]
68= 4x-2+30 (notice they are vertical angles)
68= 4x+28
40=4x
10=x

68+y= 180 (forms a straight angle)
y=112

Final answer: x=10, y=112
4 0
3 years ago
Read 2 more answers
A builder could get 9 sheets of Sheetrock for $20. If he bought 15 sheets, how much money would he have spent?
lora16 [44]
$33.33

20/9 = $2.22 per sheet
$2.22*15 = $33.33
4 0
3 years ago
Read 2 more answers
Please check my work:
11Alexandr11 [23.1K]

Answer:

1) C (5,-11)

2)A and C

3)B

4)A

8 0
3 years ago
A certain isotope decays so that the amount A remaining after t years is given by:
pashok25 [27]

f(h(x))= 2x -21

Step-by-step explanation:

f(x)= x^3 - 6

h(x)=\sqrt[3]{2x-15}

WE need to find f(h(x)), use composition of functions

Plug in h(x)

f(h(x))=f(\sqrt[3]{2x-15})

Now we plug in f(x) in f(x)

f(h(x))=f(\sqrt[3]{2x-15})=(\sqrt[3]{2x-15})^3 - 6

cube and cube root will get cancelled

f(h(x))= 2x-15 -6= 2 x-21

3 0
3 years ago
I need to know the answer
ladessa [460]

Answer:

b

Step-by-step explanation:

Answer: option (b)

1 billion = 1, 000, 000, 000

In scientific notation, a number is rewritten as a simple decimal multiplied by 10 raised to some power n.

10 =101

100= 102

1, 000 = 103

1, 0000 = 104.

..............

Therfore 1 billion can be written as

1 billion =1, 000, 000, 000=10^{9}

Then 1.5 billion =  1.54 10^{9}

Hence option (b) is the correct answer

please give me brilliant answer

thank you

5 0
3 years ago
Other questions:
  • A merchant is selling wind chimes from booth at a flea market he rents his space for $125 per day The Profit from each wind chim
    8·1 answer
  • What is the gcf of 28 and 70
    14·2 answers
  • Which figure has both line of symmetry and rotational symmetry
    9·1 answer
  • Use the distributive property to write an equivalent expression -3(2x + 11)
    6·1 answer
  • Red blood cells diffuse gas in and out of the bloodstream. Find the surface to volume ratio for a red blood cell using the infor
    11·1 answer
  • A cookie recipe calls for 1/3 of a cup of sugar and 1 1/2 cups of flour. What is the unit rate of flour to sugar for the cookie
    5·1 answer
  • What is the qoutient -3 ÷ 9?
    9·1 answer
  • If f (x) = StartRoot x EndRoot + 12 and g (x) = 2 StartRoot x EndRoot, what is the value of (f – g)(144)?
    12·1 answer
  • an angle is 10 degrees more than 3 times the measure of its compliment. find the measure of both angles
    14·1 answer
  • Determine the domain and range of the given function.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!