Answer:
The probability is 
Step-by-step explanation:
We can divide the amount of favourable cases by the total amount of cases.
The total amount of cases is the total amount of ways to put 8 rooks on a chessboard. Since a chessboard has 64 squares, this number is the combinatorial number of 64 with 8,
For a favourable case, you need one rook on each column, and for each column the correspondent rook should be in a diferent row than the rest of the rooks. A favourable case can be represented by a bijective function
with A = {1,2,3,4,5,6,7,8}. f(i) = j represents that the rook located in the column i is located in the row j.
Thus, the total of favourable cases is equal to the total amount of bijective functions between a set of 8 elements. This amount is 8!, because we have 8 possibilities for the first column, 7 for the second one, 6 on the third one, and so on.
We can conclude that the probability for 8 rooks not being able to capture themselves is

Answer:
D
Step-by-step explanation:
The degree of a polynomial is determined by the largest exponent of a term within the polynomial.
Given
7x³ + 4x - 5 + 8
The term with the largest exponent is 8
with exponent 5
Thus the polynomial is of degree 5 → D
(2-a)^2 + 3(2-a)
A^2 -2a + 4 + 6 -3a
A^2 -5a +10
Last one of the first one try the last one first
Answer:
A. The magnitudes are 10, and the direction angles are about 18 degrees.
Step-by-step explanation:
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