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
harkovskaia [24]
3 years ago
6

How many ways are there to assign six jobs to five different employees if every employee is assigned at least one job?

Mathematics
1 answer:
NARA [144]3 years ago
3 0

Answer:

There are 1800 different ways.

Step-by-step explanation:

A permutation give as the total ways in which we can organized a group of elements where the order is important. So, the  permutation of n elements when all of them are not different is calculate as:

\frac{n!}{n1!n2!...nk!}

Where k is the number of elements that are different, n1, n2, ... nk are the number of times that very element appears and n is equal to n1+n2+...nk.

In this case we have 5 differents and general ways to assign six jobs to five different employees:

1. the first employee receive 2 jobs

2. the second employee receive 2 jobs

3. the third employee receive 2 jobs

4. the fourth employee receive 2 jobs

5. the fifth employee receive 2 jobs

Then, if the first employe receive 2 jobs, its mean that we have six people to permutate and the first person appears two times.

So the permutation of this 6 element in which one is repeat 2 times is calculate as:

\frac{6!}{2!*1!*1!*1!*1!*1!}=360

Therefore, there are 360 ways to organized five different employees into 6 jobs where the first person can receive two jobs.

For the other 4 options we can made the same calculation, so the total number of ways that we can organized five employees in six jobs are calculate as:

360*5=1800

Finally there are 1800 different ways.

You might be interested in
How many months of the year have 28 days??
My name is Ann [436]
All 12 months have 28 days in it.
because every month has 28 days ( February) or more number of days like the other months(Jan, Mar..)
4 0
3 years ago
What is the volume of the prism below?
Fudgin [204]

Answer: A) 150 cubic units

V = area of the base <u>times</u> the height of the prism.

(5)(6) = 30

30/2 =15

V = (15)(10)

V = 150 cubic units

5 0
3 years ago
If you roll a dice three times what is the probability of rolling an odd number each time
olasank [31]

Answer:

3/6

Step-by-step explanation:

there are 6 sides: 3 odd and 3 even numbers

if you need to find the probability of rolling an odd number, take the number of odd possibilities and form a fraction with the number of total sides, 6.

so, 3/6 Or 1/2

8 0
3 years ago
Read 2 more answers
If you sell 3 bags of candy, then 4 bags and finally 1 bag, how much is each bag if you collected $6.40?
mariarad [96]

Answer:

$51.2

Step-by-step explanation:

3 + 4 + 1 = 8

8 x 6.40 + 51.2

4 0
3 years ago
Read 2 more answers
1. William earns $134,644.80 per year, and has his federal taxes withheld from each weekly check. In addition, a total of $53.60
SashulF [63]
I only have the answer for 3 and i believe it is 20,090

3 0
3 years ago
Other questions:
  • Which of the following steps were applied to abc obtain a'b'c'
    9·2 answers
  • Write 337,060 in expanded form using exponents
    6·1 answer
  • Tom has 12 carrot sticks. Sue has
    5·2 answers
  • Help for 10 points!!
    9·1 answer
  • You fly a helicopter for 20 minutes that goes at a speed of 240 km per hour. How far did you go?
    11·1 answer
  • Find an expression which represents the sum of (-5x + 10) and (-7x + 9) in<br> simplest terms.
    14·1 answer
  • Tobin is solving the equation 3 (x minus 1.25) = 11.25. His work is shown below.
    12·2 answers
  • 4x=3x+5 need help with this problem!
    14·2 answers
  • What is the equation of the line that passes through the point(−5,−3) and has a slope of -1−1?
    12·1 answer
  • Need help<br><br> 0.235+8.34=
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!