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
Nookie1986 [14]
3 years ago
11

How many ways are there to distribute 5 identical apples and 6 identical pears to 3 distinct people such that each person has at

least one pear?
Mathematics
1 answer:
Nady [450]3 years ago
6 0

Answer:

961

Step-by-step explanation:

5 apples and 6 pears are to be distributed among 3 different people.

the number of ways the fruits could be distributed without restrictions is 3^ 11 = 177147

If each person gets at least one pear,first calculate the number of ways 6 pears could be distributed among 3 people

= 3^6 - 3

= 729 -3 = 726

Secondly calculate the number of ways 5 apples could be distributed among 3 people

3^5 = 243

Total = 726 + 243

= 961 ways

You might be interested in
Ningbo Shipping has issued preferred stock at its $125 per share par value. The stock will pay a $15 annual dividend. The cost o
katen-ka-za [31]

Answer:

The cost of Ningbo Shipping Preferred stock is 12.40%

Step-by-step explanation:

In this question, we are asked to calculate the cost of Ningbo shipping Preferred stock.

To calculate this, we make use of the following mathematical relation;

The cost preferred stock Kp = Annual dividends/ Issued price-Cost of Issuing

From the question, we identify the following;

Issued price = $125

Annual dividend = $15

Cost of Issuing = $4

Inserting these into the formula we have;

Kp = $15/$125 - $4 = 12.40%

This means that Cost of Ningbo shipping preferred stock is 12.40%

5 0
3 years ago
An art class is making paperweights out of plaster. They use a mold in the shape of a rectangular prism. (2 1/4m, 2 1/2m, and 1
djyliett [7]
V=w•h•l
w=2 1/2=5/2=2.5 m
h=1 3/4=7/4=1.75 m
l= 2 1/4=9/4=2.25 m
V= 2.5 •1.75 •2.25
V=9.84 m^3
3 0
2 years ago
Read 2 more answers
37 points! The square root of 83 can be plotted on the number line below.
Nikitich [7]

Answer:

9.1 is the nearest tenth

9.11 to the nearest hundredth

just slightly to the right of 9.1

Step-by-step explanation:

sqrt(83)

sqrt(81) = 9

So we know that it is slightly greater than 9

9.1*9.1 =81.81

9.2*9.2=84.64

9.1 is closer

9.11 * 9.11 =82.9921

9.12 * 9.12 =83.1744

9.11 is closer

7 0
3 years ago
Read 2 more answers
If the length of a rectangle is 5y-7 and the width is 3y,represent the area of the rectangle
elena-14-01-66 [18.8K]

Answer:

15y^2 - 21y

Step-by-step explanation:

A = LW

A = (5y - 7)(3y)

A = 15y^2 - 21y

8 0
3 years ago
Read 2 more answers
PLEASE HELP (unknown answers will be deleted)
Shtirlitz [24]

Answer:

where's the assignment

8 0
3 years ago
Other questions:
  • What is the expression in the simplest radical form?
    13·1 answer
  • Ok so I wanted to make sure my math was correct <br> Is 274.43 - 20.46 - 25.89 = 228.08
    10·2 answers
  • A particular convex pentagon has two congruent, acute angles. The measure of each of the other interior angles is equal to the s
    5·1 answer
  • The polynomial below is a perfect square trinomial of the form A^2-2AB+B^2<br><br> 4x^2-20x+25
    5·2 answers
  • HELP IM BEING TIMESD KHAN ACADEMY
    6·1 answer
  • (07.03)
    10·2 answers
  • What are the steps to solve, 510=x+.21x-.19x
    13·1 answer
  • State the null hypothesis H0 and the alternative hypothesis Ha in each case. Be sure to identify the parameters that you use to
    14·1 answer
  • 1 * 8 + 8 - 8 + 2 - 3 + 4
    15·1 answer
  • Use the drop-down menus to complete each statement about the functions f and g
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!