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
Give examples of 100% increase 100% decrease and 100% error . explain each
Akimi4 [234]

Answer: 100%

Step-by-step explanation:

100+100=200-100=100%

6 0
3 years ago
29 less than -10 times a number is equal to -18 times a number +91
sergejj [24]

Answer:

10

Step-by-step explanation:

5 0
3 years ago
The area of a square is 100 m². What is its perimeter?​
puteri [66]

Answer:

hope it helps you.........

7 0
3 years ago
Read 2 more answers
How many times does 20 go into 168?
ch4aika [34]
The answer:

8 times

Explanation:

If you divide 168 by 20, you get 8.4, and the whole number is 8 so that’s the answer.
7 0
3 years ago
Read 2 more answers
Which equation is the inverse of y = x2 – 36?
True [87]

Answer:

so boom how bout you help me out ipon knoe nun   bout thisd

Step-by-step explanation:

4 0
4 years ago
Other questions:
  • The term “data rot” refers to
    14·2 answers
  • Mary and Jerry are exercising on a track. ?Mary is walking at the rate of 3 miles per hour. Jerry starts jogging at a rate of 4
    8·1 answer
  • The sum of two numbers is 210. Determine the maximum product of these two numbers
    5·1 answer
  • What 5.9999 in fraction form?
    7·1 answer
  • An urn contains 10 bails: 5 are white, 3 are red, and 2 are black. three balls are drawn at random, with replacement, from the u
    7·1 answer
  • I need help is it A B C or D
    8·1 answer
  • Making a store display with boxes of candles volume of each cube 125 cubic inches of the display has 6 layers of boxes how high
    11·1 answer
  • The function F(x) is described below.
    14·1 answer
  • A line that passes through the points (-1,-7) and (3,7)
    8·2 answers
  • - 200<br> Solve it i need help
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!