Find the rook polynomial and an expression for the number of matchings of 5 men (rows)...

Find the rook polynomial and an expression for the number of matchings of 5 men (rows) with 5 women (columns) given the following forbidden pairings:
(M1,W4), (M2,W2), (M3,W3), (M4,W2), (M4,W4), (M5,W1), (M5,W3), (M5,W45).

Answer is 5! - 8x4! + 21x3! - 20x2!+ 6x1!, please explain how to get it, thanks.

Expert Solution

Colby Messinger answered 1 year ago

4. A group consist of 6 men and 5 women. Find the number of choosing 5...

4. A group consist of 6 men and 5 women. Find the number of choosing 5 committee members: e) Without condition f) Must have 2 men and 2 women and another person either men or women g) The number of men must exceed the number of women h) Must have at least 1 men and 1 women 6. How many choices are there if we want to make a 5 person committee from 12 persons, if the president has already...

3. A class consist of 7 men and 5 women. Find the number of choices to...

3. A class consist of 7 men and 5 women. Find the number of choices to choose a 5 committee members: a) Without condition b) Must have 3 men and 2 women c) Must have at least 1 men d) Must have at least 1 men and 1 women

1. Write a code that constructs a matrix with 5 rows that contain the number 1...

1. Write a code that constructs a matrix with 5 rows that contain the number 1 up to 30. Your output matrix must be filled by the columns. 2. Create the vector_a containing five numeric values 5,7,8,9,10 and vector_b containing five numeric values 2,4,7,9,19. Write the output of the sum of vector_a and vector_b. 3. Create the vector_a containing five numeric values 5,7,8,9,10 and vector_b containing five numeric values 2,4,7,9,19. Write a code that combines vector_a and vector_b.

For the given polynomial, find all zeros of the polynomial algebraically. Factor the polynomial completely. ?(?)...

For the given polynomial, find all zeros of the polynomial algebraically. Factor the polynomial completely. ?(?) = ?^4 − 2?^3 − 2?^2 − 2? − 3 For the given polynomial, find all zeros of the polynomial algebraically. Factor the polynomial completely. ?(?) = 6?^4 − 7?^3 − 12?^2 + 3? + 2

Task 3: a) A second-degree polynomial in x is given by the expression = + +...

Task 3: a) A second-degree polynomial in x is given by the expression = + + , where a, b, and c are known numbers and a is not equal to 0. Write a C function named polyTwo (a,b,c,x) that computes and returns the value of a second-degree polynomial for any passed values of a, b, c, and x. b) Include the function written in part a in a working program. Make sure your function is called from main() and...

Find the Chebyshev interpolation nodes on the interval [4,12] for an interpolating polynomial of degree 5

Find the value of the polynomial at points.

Find the value of polynomial 5x–8x^2+3 at the points(i) x=–5(ii)x=0

How to find the polynomial function with real coefficients, degree 5, zeros 1+i, -3, and 5,...

How to find the polynomial function with real coefficients, degree 5, zeros 1+i, -3, and 5, and P(0)=30 and P(4)= -70?

[PLEASE USE C++] Write a function to read values of a number of rows, number of...

[PLEASE USE C++] Write a function to read values of a number of rows, number of columns, 2 dimensional (2D) array elements and display the 2D array in a matrix form. Input 2 3 1 4 5 2 3 0 Where, First line of represents the number of rows. Second line of input represents the number of columns. Third line contains array elements of the 1st row and so on. Output 1 4 5 2 3 0 where There must...

1. a) A monic polynomial is a polynomial which has leading coefficient 1. Find the real,...

1. a) A monic polynomial is a polynomial which has leading coefficient 1. Find the real, monic polynomial of the lowest possible degree which has zeros −1−i,−2i and 3i, and z is the variable. b) i) If we prove that if a, b and c are integers such that a|b and a|c then a|(b + c), what is the converse of this statement, and is it true? ii) Why is the statment “If it is Thursday, then I have a...

Question