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Dmitriy789 [7]
2 years ago
5

Can someone help me with this? ​

Mathematics
1 answer:
Natali5045456 [20]2 years ago
8 0

Answer:

ᴀ.)

Step-by-step explanation:

Hope you get it right!! :)

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Eights rooks are placed randomly on a chess board. What is the probability that none of the rooks can capture any of the other r
erastova [34]

Answer:

The probability is \frac{56!}{64!}

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, 64 \choose 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  f : A \rightarrow A , 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

\frac{8!}{64 \choose 8} = \frac{8!}{\frac{64!}{8!56!}} = \frac{56!}{64!}

7 0
2 years ago
Based on Charles Waddell Chestnutt's "The Wife Of His Yout. Which of the following statements about Mr. Ryder is true? Choose al
Serjik [45]
I'm pretty sure that there are two statements which are true: b. At the conclusion of the story, Charles Waddell Chesnutt wants readers to see the redeeming qualities in Mr. Ryder. and c. The wife of Mr. Ryder's youth could never be a member of his exclusive society.
3 0
2 years ago
i live in a house that 3 metets below sea level go to school 5 meters above sea level how many meters do i go​
RideAnS [48]
3 meters below sea level represents a -3
From -3 to 0 is 3
3 + 5 above sea level = 8 meters
There are 8 meters between the house and the school
4 0
3 years ago
The geometry of the hybrid orbitals about a central atom with sp3d hybridization is:________
Lyrx [107]

For sp3d hybridized central atoms, the only possible molecular geometry is trigonal bipyramidal.

Hybridisation (or hybridization) is a process of mathematically combining two or more atomic orbitals from the same atom to form an entirely new orbital different from its components and hence being called as a hybrid orbital.

In this case, if all the bonds are in place, the shape is also trigonal bipyramidal.

In chemistry, a trigonal bipyramid formation is a molecular geometry with one atom at the center and 5 more atoms at the corners of a triangular bipyramid.

Bond angle(s): 90°, 120°

Coordination number: 5

Point group: D3h

For more information about orbitals, visit

brainly.com/question/25886221

#SPJ4

8 0
1 year ago
Elixir of acetaminophen contains 160 milligrams per 5 milliliters. How much acetaminophen is needed to prepare 2 ounces of elixi
frutty [35]
1 UK fl oz = 28,413 ml
2 UK fl oz = 56,826 ml

If 5ml contains 160mg
56,826fl oz contains X mg
________________________

56,826 X 160 = 9,092,160

9,092,160 / 5 = 1818,432mg acetaminophen needed

3 0
3 years ago
Read 2 more answers
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