Suppose you are managing 17 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 quali?cations/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: 6, 3, 8

QUESTION POSTED AT 26/03/2020 - 02:41 PM

Answered by admin AT 26/03/2020 - 02:41 PM

To form the first group, we can choose from a group of 17 people.
\text{First group: } ^{17}C_6 = 12376

To form the next group, we need to consider how many people are left (17 - 6 = 11)
So, from a group of 11 people, we can have 3 people in it.
\text{Second group: } ^{11}C_3 = 165

There is only one way to group the last 8 people. Thus, they are going to be 1 group.

BUT we would have overcounted because of the fact that they can be chosen in different ways. This is because they are not distinct groups or ordered groups. For example, the third group can be chosen first, the second can be chosen last, etc.

So, to counter this, we need to divide by 3!

\text{Total arrangements: }\frac{12376 \cdot 165}{3!} = 340340

There are 340, 340 ways.
Post your answer

Related questions

For the function f(x) = –5x, which ordered pair will be a point on the graph of the function? A. (–5, 1) B. (2, 10) C. (15, –3) D. (0, 0)

It's D: (0,0)
This is because when you put 0 in for x your y value will equal 0 and that is one of your answers, so it's the point (0,0) 

ANSWERED AT 28/03/2020 - 07:19 PM


QUESTION POSTED AT 28/03/2020 - 07:19 PM

The manager at Christopher's Furniture Store is trying to figure out how much to charge for a sofa that just arrived. If the sofa was bought at a wholesale price of $94.00 and Christopher's Furniture Store marks up all furniture by 35%, at what price should the manager sell the sofa?

The sofa would be sold for $126.90

To get your answer, you would multiply $94.00 by 35%.
(94.00×0.35)
That answer would give you 32.9 or $32.90.
You would then add $94.00 to $32.90
(94.0+32.9)
Your answer will come out as 126.9 or in this case, it'll be $126.90.

ANSWERED AT 28/03/2020 - 07:16 PM


QUESTION POSTED AT 28/03/2020 - 07:16 PM

At a carnival game, you randomly throw two darts at the board and break two balloons out of 15. What is the probability that both the balloons you break are purple? Write your answer as a fraction or percent rounded to the nearest tenth. (3 red, 4 blue, 2 green, 2 yellow, 4 purple)

Add up the total number of balloons (15) there are 4 purples so the probably of you getting purple at all is 4/15. consider that after you hit the first purple, your odds decrease to 3/14. 

ANSWERED AT 28/03/2020 - 01:00 PM


QUESTION POSTED AT 28/03/2020 - 01:00 PM

Need help on number 4. Complete Sentences Please! Thank you, ✨

No, because the eagles acid in its stomach is stronger and when the pellet is found most of the bones will be dissolved or disintegrated

ANSWERED AT 28/03/2020 - 12:59 PM


QUESTION POSTED AT 28/03/2020 - 12:59 PM

Jane packed 9kg of flour into packets of 1/5 kg and 1/10kg . how many packets of each type did Jane pack if there were equal numbers of each type0

To figure this out, you would add the 1/5 and 1/10, which is 3/10. Then, you would divide that by 9, and the answer would be how many kg's of each type. Hope this helps!

ANSWERED AT 28/03/2020 - 12:56 PM


QUESTION POSTED AT 28/03/2020 - 12:56 PM

One train traveled south at 60 mph. The other traveled east at 50 mph. How far apart were the trains after 3 hours?

Let's called the train that traveled south train A, and the train that traveled east train B

After 3 hours, train A is 180 miles South
and Train B is 150 miles East

Using Pythagoras, distance between is sqrt(180^2 + 150^2)
30 sqrt(6^2 + 5^2) = 30sqrt(36 + 25) = 30sqrt 61 = 234.307 miles

ANSWERED AT 28/03/2020 - 12:55 PM


QUESTION POSTED AT 28/03/2020 - 12:55 PM

What is the approximate probability that the next flower (flower 11) will be at least 60 inches

Need more information. Thank You.

ANSWERED AT 28/03/2020 - 12:53 PM


QUESTION POSTED AT 28/03/2020 - 12:53 PM

Two less than 6 times the difference of 9 and 5

X=6(9-5)-2
So
X=6(4)-2
X=24-2
X=22

ANSWERED AT 28/03/2020 - 12:52 PM


QUESTION POSTED AT 28/03/2020 - 12:52 PM

(i3)^2(-i0)^3(3i2)^4

The answer is 0 is this if i stands for a square root.
The answer is -81 if i is a variable.

ANSWERED AT 28/03/2020 - 12:51 PM


QUESTION POSTED AT 28/03/2020 - 12:51 PM

When you divide a whole number by a decimal less than 1, the quotient is greater than the whole number. Why?

Dividing is the action of slimming a number down to a smaller size. When you divide a whole number by a decimal less than 1 the quotient is greater than the whole number because the that is how many times the quotient is a part of the whole number. For instance, you divide 100 by 4, you will get a quotient of 25. There are 4 parts of 25 to be equal to 100.

I hope this helps you!

ANSWERED AT 28/03/2020 - 12:51 PM


QUESTION POSTED AT 28/03/2020 - 12:51 PM

Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequality that can be used to determine the number of songs that he can purchase. Interpret the solution.

Let x be the number of songs downloaded.
Each song is $1.29; the total cost would be found by multiplying the cost by the number of songs, or 1.29x.
This cannot be more than 20, so we set this less than or equal to 20:
1.29x ≤ 20.

To solve this, we divide both sides by 1.29:
 \frac{1.29x}{1.29}  ≤  \frac{20}{1.29} ;
x ≤15.5.

We cannot download half of a song, so we round this down to 15 (although the number rounds up mathematically, he would not have enough money to download 16 songs). This means he can download at most 15 songs.

ANSWERED AT 28/03/2020 - 12:48 PM


QUESTION POSTED AT 28/03/2020 - 12:48 PM

The lengths of three sides of a triangle are given. Determine whether each triangle is a right triangle. 1. 14 m, 5 m, 4 m 2. 3 in., 4 in., 5 in. Are these right triangles?

In a right triangle, the hypotenuse is always the longest side.  Plus, the hypotenuse squared has to equal the sum of the squares of the other 2 sides.  For the first "triangle" above: does 14 ^{2} =5 ^{2} +4 ^{2} ?  Let's check.  196 = 25 + 16 so does 196 = 41?  Obviously not.  So that is not a right triangle.  Let's check the second one the same way.  Does 5 ^{2} =3 ^{2} +4 ^{2} ?  25 = 9 + 16.  Does 25 = 25?  Of course it does!  So 1 is not a right triangle, but 2 is!

ANSWERED AT 28/03/2020 - 12:48 PM


QUESTION POSTED AT 28/03/2020 - 12:48 PM

A bag of coins contains 2 quarters, 5 dimes, 3 nickels, and 4 pennies. If 2 coins are randomly chosen from the bag, one after the other, and not replaced, and if the total value of the chosen coins is 26 cents, what is the probability that a third coin randomly chosen from the bag will be a penny?

Answer:

B

Step-by-step explanation:

The 2 coins that have a combined value of 26 cents are a quarter and a penny. That means that 1 quarter and 1 penny must have already been removed from the bag. For this reason, the bag now contains 1 quarter, 5 dimes, 3 nickels, and 3 pennies. Therefore, the probability that a third coin randomly chosen from the bag will be a penny is

3

1 + 5 +3 + 3

=

3

12

=

1

4

.

ANSWERED AT 28/03/2020 - 12:47 PM


QUESTION POSTED AT 28/03/2020 - 12:47 PM

What are the intercepts of 6x + 8y = 24? a.(4, 0) and (0, 1) b.(12, 0) and (0, 1) c.(3, 0) and (0, 4) d.(4, 0) and (0, 3)

6x + 8y = 24

x intercept is the value when y =0 & y intercept is the value when x=0


for y=0 ==> 6x+0 =24 ==> x=4 for x=0==> 0+8y =24 ==> y=3

(4,0) & (0,3) (ANSWER d)

ANSWERED AT 28/03/2020 - 12:46 PM


QUESTION POSTED AT 28/03/2020 - 12:46 PM

Figure out the number of solution 6x^2=-2x-2 A 2 real unequal solutions B 2 complex imaginary solutions C one real solution

 Choice B is the answer

ANSWERED AT 28/03/2020 - 12:46 PM


QUESTION POSTED AT 28/03/2020 - 12:46 PM

When you change fractions and mixed numbers into decimals, why is the denominator always 10, or 100

So when you turn it into a decimal it has a correct place value say if you have 0.70 as a fraction it would be 70/100 because the fraction is telling you it's hundredths one tip is look at the decimal pretend it's always a 1 then in front of the decimal is all zeros and that is your denominator. Hope this helped ( :

ANSWERED AT 28/03/2020 - 12:44 PM


QUESTION POSTED AT 28/03/2020 - 12:44 PM

Find 3 solutions of the equation y=9×-4

Three solutions are: (2,14) (1,5) (3, 23)

ANSWERED AT 28/03/2020 - 12:44 PM


QUESTION POSTED AT 28/03/2020 - 12:44 PM

How do you set up a chart for 3 choices and what the answer

You put how many pineapple on the p strawberry on the s and banana
 on b

ANSWERED AT 28/03/2020 - 12:43 PM


QUESTION POSTED AT 28/03/2020 - 12:43 PM

What is 6(x+4)? Show work

You would multiply 6 by both, the x and the 4 to get your answer.
6(x+4)
6*x+6*4=
6x+24

ANSWERED AT 28/03/2020 - 12:43 PM


QUESTION POSTED AT 28/03/2020 - 12:43 PM