How many ways are there to distribute r+s identical balls among five different children such that each child gets between two and seven (inclusive)? (Use a generating function method and show all your work)

Q: 25) Find the gcd of 10563 and 10563105.

A: We have to find the gcd of given number.

Q: 352 students are signed up for freshman physics what is the largest number of section of physic…

A: Equation : An equation is a mathematical statement that consists of an equal symbol between two…

Q: How do you multiply

A: Given radical expression is,

Q: 5 y 4

A: The order of surd is indicates the index of root to be extracted. For example: n√(x) here n is…

Q: There are 16 cubic plastic blocks, each one a different color from the others. How many ways are…

A: There are 16 cubic plastic blocks, each one a different color from the other.

Q: In a gym class there are 22 seniors, 12 juniors, 10 sophomores and 15 freshnen. How many ways can 8…

A:

Q: What mixed number did Ricardo de equation to represent the decompc (4)/(5)+(5)/(5)+…

A: Given fraction is (4/5)+(5/5)+(6/5)+(5/5)+(4/5) Concept: First we will take LCM of denominator…

Q: What is the order of Z11?

A: Recall the fact that order is the number of elements in that group. Note that ,…

Q: I have to identify the recursive and explicit rule. I need to select two

A: Answer: Option F f(n)=f(n-1) . r Option A f(n)=3. 4n-1

Q: Did you use the product rule as well? I would like some clarification on the steps.

A:

Q: Assume that the color of each block matters.

A: There are 16 cubic blocks, each one a different color from the others.

Q: The first three terms in the expansion of (1 + ay)^n are 1, 12y, and 68y^2. Find a and n.

A:

Q: Give an example of a situation in which you might need to calculate 4!. Show all steps.

A: Solution: Factorial: It is defined as The factorial function (symbol: !) says to multiply all whole…

Q: What is the coefficient of (x^8)(y^12) in the expansion of (y+x)^20

A:

Q: Is a product of two positive decimals each less than 1 always less than each of the decimals?

A: To state the give statement is true or false.

Q: e short form of the gene. They find that 26 of the subjects in their study have at least one copy of…

A: Given Sample size= 100 X=26 P=20%=0.20

Q: Letr = (15462 37) and q = (2 4 5 6) be permutations in S7, written in cycle notation. What is the…

A: The given permutations are r=(1 5 4 6 2 3 7) , q=(2 4 5 6). To write: The second line of r in…

Q: Find the number of arrangements of the digits {0,1,2,3,4,5,6,7,8,9} such that the first digit is…

A: We need to find the total number of arrangements of digits 0,1,2,3,4,5,6,7,8,9 such that the first…

Q: How do you compute the following

A: From the provided information, Number of observations (n) = 16 Arranging the data into ascending…