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
sukhopar [10]
3 years ago
10

A man is distributing his coin collection with 35 coins to his five grandchildren. How many ways are there to distribute the coi

ns if:
a. The coins are all the same
b. The coins are all distinct
c. The coins are the same and each grandchild gets the same number of coins.
d. The coins are all distinct and each grandchild gets the same number of coins.
Mathematics
1 answer:
Musya8 [376]3 years ago
3 0

Answer:

a) 82251

b) 2.91038 \cdot 10^{24}

c) 1

d) 3.17746\cdot 10^{21}

Step-by-step explanation:

a) If the coins are all the same, we have a combination of 35 identical coins in 5 persons.

The amount of combinations is

\binom{n+r-1}{r-1}=\binom{35+5-1}{5-1}=\binom{39}{4}=\frac{39!}{4!35!} =82251

being n the number of coins and r the number of grandchildren.

b) If the coins are different, the number of combinations can be calculated as:

r^n=5^{35}=2.91038 \cdot 10^{24}

c) If the coins are all the same, and each grandchild gets the same number of coins, there is only one combination for that (everyone gets 35/5=7 coins)

d)  If the coins are all distinct, but each of the grandchildren get the same numer of coins, the expression to calculate this is:

\frac{n!}{(n/r)!^r} =\frac{35!}{(35/5)!^5}=\frac{35!}{7!^5}=\frac{1.03331\cdot 10^{40}}{3.25202\cdot 10^{18}} =3.17746\cdot 10^{21}

You might be interested in
Please help!!!!! Will give brainliest
QveST [7]
To find the mean add up each value and divide by the number of values
Planted society- 40+20+16+20+17+12+15=140
140/7=20
Bees park- 25+12+9+15+35+20+6+30=152
152/8=19
planted society’s mean was larger
6 0
4 years ago
4= Sx+10/2<br><br> that’s a fraction btw
frozen [14]

Answer:

4= Sx+10/2 simplifies to -s*x-1=0

Step-by-step explanation:

8 0
3 years ago
Answer ASAP Find tanθ, where θ is the angle shown. Give an exact value, not a decimal approximation.
pychu [463]
<h3>Answer:  24/7</h3>

This is the same as writing the fraction \frac{24}{7}

=======================================================

Explanation:

Use the pythagorean theorem to find the missing side.

a^2 + b^2 = c^2\\\\a^2 + 24^2 = 25^2\\\\a^2 + 576 = 625\\\\a^2 = 625 - 576\\\\a^2 = 49\\\\a = \sqrt{49}\\\\a = 7\\\\

The horizontal side of the right triangle is 7 units long.

--------------------

The \tan(\theta) is the ratio of the opposite over adjacent.

\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(\theta) = \frac{\text{vertical}}{\text{horizontal}}\\\\\tan(\theta) = \frac{24}{7}\\\\

3 0
2 years ago
Find the area of the composite figure. Show your work. What is the area of the figure?​
mixer [17]

Answer:

46 units²

Step-by-step explanation:

The figure can be decomposed into 2 triangles and a rectangle.

Area of rectangle = L*W

W = 4

L = 8

Area = 32 units²

Area of triangle 1:

Area = ½(b*h)

b = 3

h = 4

Area = ½*3*4

Area = 6 in.

Area of triangle 2:

b = 4

h = 4

Area = ½*4*4

Area = 8 units

✅Area of the figure = 32 + 6 + 8

= 46 units²

4 0
3 years ago
CORRECT + BEST EXPLANATION GETS BRAINLIEST! (50 POINTS)
inessss [21]

The answer would be D. The law of cosines.

6 0
3 years ago
Other questions:
  • We are interested in the dimensions of a certain square. A rectangle has a length of 5 units more than the side of the square an
    11·2 answers
  • Write the improper fraction as a mixed number in simplest form. 17/5
    7·2 answers
  • . Chuck needs to cut a piece of cardboard for an art project at school. He has four pieces of
    10·1 answer
  • Are the ratios 2:1 and 10:5 equivalent? yes or no
    7·2 answers
  • The area of one face of a cube is 25 cm. What is the surface area of the cube?
    9·2 answers
  • Use the distributive property to show an equivalent expression.
    5·2 answers
  • Can anyone help me with this asap !!!
    5·1 answer
  • Please help it is due at 4:15
    13·1 answer
  • Pleas help! if 19x minu 14 equal 10 what 34
    7·1 answer
  • Which function is increasing?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!