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
Ivenika [448]
3 years ago
7

20 different comic books will be distributed to five kids. (a) How many ways are there to distribute the comic books if there ar

e no restrictions on how many go to each kid (other than the fact that all 20 will be given out)? (b) How many ways are there to distribute the comic books if they are divided evenly so that 4 go to each kid?
Mathematics
1 answer:
sveta [45]3 years ago
7 0

Answer:

a) 21684

b) 15504

Step-by-step explanation:

a) Distribute the comic books as follows

only to 1 kid          one way   but we have five kids then  5

to two kids                         C₂₀,₂  =  20! /2! ( 20-2)!    =  20*19 /2  =   190

To three   C₂₀,₃   =  20! /3! ( 20 - 3)!       =  20*19*18 /6               =  1140

To four     C₂₀,₄    =   20 ! / 4! ( 20 - 4 )!   = 20*19*18*17 /4*3*2   =  4845

To five     C₂₀,₅    =    20!  /5! (20 - 5 )!    = 20*19*18*17*16/5*4*3*2*1

C₂₀,₅    =  15504

Then total ways of distribution are:

5 + 190 + 1140 + 4845 + 15504   =  21684

b)   C₂₀,₅  we know from a    that is equal to  15504

You might be interested in
What is a prediction that suggests what you expect will happen? PLZ help.
mel-nik [20]
A prediction that suggests what you expect will happened is called a Conjecture.

It is different from probability. 
8 0
3 years ago
Mr. and Mrs. Storey drove 3,200 miles in all during their vacation. Mr. Storey drove 3 times as much as Mrs. Storey. How many mi
baherus [9]
Mr. drove 3 times more then Mrs.. ok

so how far Mrs. drove will be X
and Mr. will be Y
but we know that Mr. drove 3 times more then Mrs therefor 
Y= 3X

and the Sum = 3,200

3,200=X+Y
3,200= X+(3X)
3,200=4X
div both by 4
800=X
now we know how far Mrs drove now to find Mr.
again "Mr. drove 3 times more then Mrs"
800 * 3 = 2,400
4 0
3 years ago
Please help me worth a bunch of points 26 points
Romashka [77]
9hrs on sleep
6hrs on school
1.6 hrs on job
2.4 hrs on homework
1.92 hrs on meals
4.08hrs on entertainment



3 0
3 years ago
Read 2 more answers
I know that x=0 but I don't know how I really got that.
galina1969 [7]
Sqrt(x+4-3)=1 
sqrt (x+1) = 1 
x+1 = 1^2 
x=1-1
x=0 

This is how you would get x=0 

Hope I helped :) 
8 0
3 years ago
A coat and a pair of boots are on sale for 20% off. The regular price of the coat is $225. The regular price of the boots is $13
kondaur [170]

Answer:

Part A = $180

Part B = $104

Step-by-step explanation:

Part A:

You do 255÷5=51

51 x 4 = 180

Part B:

You do 130÷5=26

26 x 4 = 104

7 0
2 years ago
Read 2 more answers
Other questions:
  • Do all triangles have right angles why or why not
    9·2 answers
  • What is 394839348 + 3948593992934
    11·2 answers
  • Jared is redoing his bathroom floor with tiles measuring 6 in. by 14 in. The floor has an area of 8,900 in. What is the least nu
    13·2 answers
  • After 8 years, ofelia earned $980 in simple interest from a cd into which she initially deposited $7000. what was the annual int
    5·2 answers
  • Select all the expressions that are equivalent to the polynomial below.
    14·2 answers
  • The number a is smaller than the number b by 1/5 of b. By what part of a is b bigger than a?
    7·1 answer
  • Jan says that a rhombus is a parallelogram and that every parallelogram is also a rhombus. Is Jan correct?
    10·1 answer
  • 125 I will mark branliest if right<br> x 35<br> ₋₋₋₋₋₋₋₋₋₋₋₋₋<br> + ₋₋₋₋₋₋₋₋₋₋₋₋₋<br> ₋₋₋₋₋₋₋₋₋₋₋₋₋
    8·1 answer
  • Help me please please
    9·2 answers
  • A cone is 8 cm high and has a base diameter of 12 cm. Its slant height is:​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!