Five different awards are to be given to three students. Each student will receive at least one award. In how many different ways can the awards be distributed?

Answers

Answer 1

Answer:

Two ways

Step-by-step explanation:

Blue is students and Yellow is the trophies.

Five Different Awards Are To Be Given To Three Students. Each Student Will Receive At Least One Award.
Answer 2

Total number of different ways that the awards can be distributed is; 150 ways.

It is clear from the question that the awards and the students are different. Now, each student will receive at least one award.

This means that the five different awards could be separated into;

3 + 1 + 1 awards or 2 + 2 + 1 awards.

Now, for one person to get 3 awards and the other 2 people to get one award each, the number of ways is calculated as;

       ⁵C₃ × 3! = 60 ways

Now, for the case where one person is to get 1 award and the other 2 people to get two awards each, the number of ways is calculated as;

      ((⁵C₂ × ³C₂)/2) × 3! = 90 ways

Thus; total number of ways the awards can be distributed = 60 + 90 = 150 ways.

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Related Questions

which is greater? 2/3 or 3/4?​

Answers

Answer:

3/4

Step-by-step explanation:

When finding common denominators the answer would be 3/4.

Answer:

2/3 is not greater than 3/4

Step-by-step explanation:

According to a survey conducted by the Texas Free Press, 125 out of 500 people do not have internet access at their homes. What percent of the people surveyed do have internet access at their homes?

Answers

Answer:

Step-by-step explanation:

Take 125 and divide by 500 this equals 0.25 or 25%

Answer:

x=25

Step-by-step explanation:

[tex]\frac{125}{500} *\frac{x}{100}[/tex] this is just a typical percent equation

[tex]12500=500x[/tex]  cross multiply

x=25 divide by 500 to get the answer


What is the y-intercept of y=
-3x

Answers

0 hope this helps!!!!!!!!!

Justin wants to make a necklace with 72 beads. He knows that 12 beads
take up 4 inches of string, but the store only sells string by the centimeter.
How many centimeters should he buy? Explain. (Hint: 1inch = 2.54 cm) *

Answers

Answer: 60.96 cm

12 beads take up 4 inches

72/12 = 6

Hence, 72 beads take up 4 * 6 inches

72 beads take up 24 inches

24 inches = 24 * 2.54

24 inches = 60.96

Answer:

60.96cm

Step-by-step explanation:

So if 12 beads=4 inches

        72 beads=72 beads*4 inch

                            12 beads

That will give you 24inches. inch-cm multiply by 2.54cm

=60.96cm of rope

Which hourly interval had the least rate of change?

Answers

Answer:

hour 3 to hour 4

Step-by-step explanation:

that is where the slope is the least steep

Which statement is true? ​

Answers

Answer:

B

Step-by-step explanation:

They equal the same decimal, and if you multiply 13 with each of them, you get the same fraction.

The sum of two numbers a and b is 7 and the difference between them is 2. What is the value of a x b ? Give your answer as a mixed number in its simplest form.

Answers

Answer:

45/4

Step-by-step explanation:

We can interpret the question to have two equation which can be solve simultaneously

a+b=7------------(1)

a-b=2------------(2)

From eqn(2) make a subject of formula

a=2+b--------(3)

Substitute the (3) into eqn(1)

a+b=7------------(1)

2+b+b=7

2b=7-2

2b=5

b=5/2

From equation (3) substitute value of b to find a

a=2+b--------(3)

a= 2+5/2

a=9/2

Then What is the value of a x b ?

9/2× 5/2

=45/4

Answer:

11 1/4

Step-by-step explanation:

a+b=7

a-b=2

adding equations gives us 2a=9  so a= 9/2

b= 7- 9/2= 14-9/2=5/2

therefore a x b= 9/2 x 5/2 =45/4

45/4 in a mixed number is 11 1/4

One of these graphs is of a cubic function which one is it ?
please helpp help I will be grounded if I don't get all of my answers. I will give brainleist​

Answers

Answer:

D is the answer

Step-by-step explanation:

:)

1.
At a movie theater, tickets cost $6 for students and $8 for adults. The theater sold $174. worth of tickets
today. The theater sold 24 tickets. How many student and adult tickets were sold?
HELP

Answers

A14 adaults 11 kids

Step-by-step explanation:

Answer: impossible.....

Step-by-step explanation:

Raymond bought a book that cost C = 1.065x after sales tax. How could he rewrite the cost equation to emphasize the base price of the book and the amount he paid in tax? C= x + 0.065 A B. C= x + 0.065x с C=1+ 0.065 D C=1+ 0.0652​

Answers

Answer:

C

Step-by-step explanation:

Helps me solve this problem please

Answers

Answer:

the slope is negative....

What is the slope of the line that passes through the points ( -4, 1) and ( -4, -10)?

(Brainliest for correct answer)

Answers

Answer:

the correct answer is x=-4

Step-by-step explanation:

Carrie and Alex are playing hiding and seek

Answers

Answer:

Ok.

Step-by-step explanation:

What is your question?

Answer: YESS

Step-by-step explanation:

I love hide and seek

If one angle of a set of supplementary angles measures 77°, then the other angle measures _____.
A.77
B.103
C.283
D.13

Answers

Answer:

B

Step-by-step explanation:

Supplementary angles sum to 180°

If one angle is 77°, then the other angle is

180° - 77° = 103° → B

I would have to say B

(PLEASE ANSWER!!!) The equation 6x = y is proportional. True or false?

The equation 6x + 8 = y is proportional. True or false?

Answers

Answer:

No, it is not proportional

Step-by-step explanation:

Rotate ΔABC with vertices A(-1, 4), B(2, 1), and C(3, -3) about the origin by 90°.

What are the coordinates of A'?

Answers

You got this you can do it I don’t know the answer but I hope you find someone who does(:

Solve the system using the elimination method. - Which one should I do first
3x-4y+z=-5
6x-4y+z=1
x+y+z=6

Answers

Answer:

first equation and second equation

Step-by-step explanation:

it is more easier because both of them have the same y

Answer:

Use equation (1) and equation(2) and eliminate 4y+z

Step-by-step explanation:

3x-4y+z=-5     ...(1)

6x-4y+z=1        ...(2)

x+y+z=6          ...(3)

First, you find the equation that you can use the elimination method on;

there are multiples of them.

However, I would use equation (1) and equation(2) and eliminate 4y+z :

 3x-4y+z=-5

- 6x-4y+z=1  

         -3x=-6

            x=2

As you can see, both the terms with y and z are eliminated in one step, exposing the variable x.

From here is just my advice:

There are multiple ways for you to answer this question. In math, the process may sometimes not matter if the answer was correct. Nevertheless, you should try finding one way that fits you or makes it easier to solve. I personally think that how I have been trying this helped me later when math got more complicated. (Also, it was fun for me to find another way that I was not taught of)

GOOD LUCK!! and I HOPE THIS HELPS YOU!!!!

What is 8.89 × 1010 in standard notation?

Answers

Answer:

8978.9

Step-by-step explanation:

MULTIPLY THE THE GIVEN AND

8.89  ×  1010 = 8978.9

THEN THE RESULT WOUD BE THE STANDARD NOTATION.

HURRY FAST! 50 pts. Any bad/wrong answers will be deleted by one of my moderator friends.

Answers

Answer:

21

Step-by-step explanation:

anything that is powered by 0 is 1 so 2 to the power of 0 is 1 times 13 which is 13, 13 added by 9 is 21

Hope this helps!

Find the slope between the two points

Answers

Answer:

B. -2/7

Step-by-step explanation:

Rise over run. The graph also goes down so it is negative.

x + y = 12
x - y = 10
What is the value of the x-determinant for the system shown?
-12
-22
-2

Answers

Answer:

Step-by-step explanation:

-22

What is the remainder when 73,847 is divided by 43? Enter your answer as a whole number in the box

Answers

Answer:

The Answer is 16.

Step-by-step explanation:

I took the test. I hope this helped! :)

The remainder when 73,847 is divided by 43 will be 16.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The mathematical expression is,

''73,847 is divided by 43''

Now,

Find the remainder when 73,847 is divided by 43 as;

43 ) 73,847 (1717

    - 43

   --------

      308

    - 301

     -------

          74

          43

        -------

          317

        - 301

         ------

           16

Thus, The remainder when 73,847 is divided by 43 will be 16.

Learn more about the division method visit:

https://brainly.com/question/24680051

#SPJ2

P>.9 and it is found the statistic is 1.04 Test the claim with 5% significance level. is the test left right or two tailed and what is the p value

Answers

Complete Question

The alternative hypothesis is [tex]H_a : p > 0.9[/tex] and it is found the statistic is 1.04 Test the claim with 5% significance level. is the test left right or two tailed and what is the p value

Answer:

    This a right tailed test

  The p-value is   p-value  = 0.14917

Step-by-step explanation:

From the question we are told that

   The alternative hypothesis is [tex]H_a : p > 0.9[/tex]

   The test statistics is  [tex]z = 1.04[/tex]

    The level of significance is  [tex]\alpha = 0.05[/tex]

Generally this a right tailed test because from the alternative hypothesis p > 0.9 i.e due to the greater than sign signifying that test will be focusing on the right tail of the normal curve

From the z table the area under the normal curve to the right corresponding to 1.04 is  

     P( Z>  1.04 )  = 0.14917

Generally the p-value is mathematically represented as

      p-value  =  P( Z>  1.04 )  = 0.14917

   

What is the answer to the following question?
1.8
2.2
3.3
4.12
?

Answers

Answer:

1.8

Step-by-step explanation:

1.8

Clear Mark for Review Jamal's lawn is shaped like a square with an area of 224.9 ft. Which measurement is closest to the side length of his lawn in feet?​

Answers

Answer: 15 feets

Step-by-step explanation:

Given that :

Area of square shaped lawn = 224.9 ft²

Measurement closest to side length of the lawn :

Since the length is square shaped ;

Area of square formula = a²; where a = side length of the square

Area = a²

224.9 ft² = a²

Take the square root of both sides

√224.9ft² = √a²

14.996666 ft = a

a = 14.996666 ft

a = 15 ft

Hence, the side length of the lawn is closest to 15 feets

Choose the answer below that makes the following expression true:

108 ÷ ‒12

A.
9
B.
96
C.
‒9
D.
‒96

Answers

Answer:

-9.

Step-by-step explanation:

It’s -9
Which is c
Hope this helped

4. Which of the following does NOT represent a constant rate of change?
F. (0,0), (9,1), (18,2), (27,3)
G. (0,0), (2,10), (5,13), (11,19)
H. (0,0), (3,2), (9,6), (15,10)
J. (0.0), (4,10), (8,20), (12.30)

Answers

Answer:

G

Step-by-step explanation:

The answer choice is G.

What is the measure of A, in degrees?

Answers

Answer:

Um... D

Step-by-step e xplanation:

I don't understand proportional relationship can u help? ​

Answers

Answer: I’ll explain it in simpler terms for you. A proportional relationship is one in which two quantities vary directly with each other. Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional. An example of a proportional relationship is simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error. Hope this helps! :D

sea ice is frozen ocean water, which frezzes at a temperture of about -1.8 degress celsius. what i the temperture in fahrenheit use the formula F=(c) (9/5)+32

Answers

Answer:

wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww

Step-by-step explanation:

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