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
Artist 52 [7]
3 years ago
8

In how many ways can I distribute $6$ identical cookies and $6$ identical candies to $4$ children, if each child must receive ex

actly $3$ items? (The requirement from part (a) is no longer in force -- that is, it's OK now to give a child $3$ items of one type and none of the other.)
Mathematics
1 answer:
Vinvika [58]3 years ago
7 0

Answer:

You can distribute the cookies and candies in four ways.

Step-by-step explanation:

Since cookies and candies are indistinguishable, we can use a combination. In this case represents the number of possible ways to distribute (without repetition) the cookies and candies (p) among a given number of children (n):

\begin{pmatrix}n\\ p\end{pmatrix}=\frac{n!}{p!(n-p)!}\\\begin{pmatrix}4\\ 3\end{pmatrix}=\frac{4!}{3!(4-3)!}=\frac{4!}{3!1!}=4

You might be interested in
Evaluate 7m+2n-8p/n m=4, n=2, and p=1.5
Firlakuza [10]

Steps to solve:

7m + 2n - 8p/n

~Substitute

7(4) + 2(2) - 8(1.5)/2

~Simplify

28 + 4 - 12/2

~Simplify

28 + 4 - 6

~Add

32

~Subtract

26

Best of Luck!

4 0
3 years ago
B. The 100th term of 60, 110, 160, ... is (Simplify your answer.) How to do this?​
Advocard [28]

The 1st term is 60.

Add 50 to this to get the 2nd term, 60 + 50 = 110.

Add 50 to that to get the 3rd term, 110 + 50 = 160.

Add 50 to that to get the 4th term, 160 + 50 = 210.

And so on...

Notice that in the 2nd term, we added 1 copy of 50 to the 1st term.

In the 3rd, we ultimately added 2 copies of 50 to the 1st term.

In the 4th, we added 3 50s.

And so on... If the pattern continues, then the <em>n</em>-th term can be obtained by adding (<em>n</em> - 1) copies of 50 to the first term.

So, the 100th term is

60 + (100 - 1) * 50 = 5010

5 0
3 years ago
Pat sewed 200 tote bags in 4 hours at what rate did pat sew the tote bags
Alik [6]

Answer:

50 tote bags were sewed per hour

Step-by-step explanation:


6 0
3 years ago
Is 9,972 above sea level ​
Lunna [17]
Yes. but if it has a negative sign in the front of it it is below sea level.
6 0
2 years ago
Read 2 more answers
PLEASE HELP !!!!!!!!!
Andrej [43]

Answer: bottom one I think

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Michael had $550 in his savings account. He took out $30.75 every month for one year. What is the net change in Michael's accoun
    8·1 answer
  • Select all the steps that you could use to subtract a negative fraction from a positive decimal. A. Subtract the absolute value
    10·2 answers
  • How are renewable and nonrenewable resources different?
    11·2 answers
  • Alsion saves $29.26 each month. How many months will it take her to save enough money to buy a stereo for $339.12?
    6·1 answer
  • Is this a right triangle side lengths: 8 cm,10 cm,16 cm
    5·1 answer
  • Who can give me this answer
    8·1 answer
  • -20 2 -6 -18 4 -4 put them from least to greatest
    13·2 answers
  • Please help! The question and answer choices are attached.
    7·1 answer
  • NEED HELP WITH 13 a-b!!!! PLEASE HELP!!!!!!!
    13·1 answer
  • Solve for x????????????????????
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!