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
There isnt enough information to solve the question, answer is E.
Answer:
See Explanation
Step-by-step explanation:
Line l is bisector of MO... (given)
![\therefore NO + NO = MO..[From \:(1)]](https://tex.z-dn.net/?f=%20%5Ctherefore%20NO%20%2B%20NO%20%3D%20MO..%5BFrom%20%5C%3A%281%29%5D%20)
Thus Proved
The equation for a parabola is y = ((x - a)^2) + b. There is a shift one to the left (we’ll call that a) and one shift down (we’ll call that b) for the point (-1,-1). Shifts to the left and right are replaced with a and shifts up and down are replaced with b. y = ( x - (-1))^2 - 1. Simplify: y = (( x + 1)^2) - 1
Relationship Between Credit Scores & Interest Rates. Your credit score directly affects the interest rate you must pay for credit cards, car loans, and mortgages. A 100-point increase in your rating can translate into $70,000 in savings for the average borrower over his or her lifetime
