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Aleks04 [339]
2 years ago
13

In how many ways can five indistinguishable rooks be placed on an 8-by-8 chess- board so that no rook can attack another and nei

ther the first row nor the first column is empty?
Mathematics
1 answer:
german2 years ago
5 0

The are 40320 ways in which the 5 indistinguishable rooks be can be placed on an 8-by-8 chess- board so that no rook can attack another and neither the first row nor the first column is empty

<h3 /><h3>What involves the rook polynomial? </h3>

The rook polynomial as a generalization of the rooks problem

Indeed, its result is that 8 non-attacking rooks can be arranged on an 8 × 8 chessboard in r8.

Hence, 8! = 40320 ways.

Therefore, there are 40320 ways in which the 5 indistinguishable rooks be can be placed on an 8-by-8 chess- board so that no rook can attack another and neither the first row nor the first column is empty.

Read more about rook polynomial

brainly.com/question/2833285

#SPJ4

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Find m<br> A. 12<br><br> B. 22 <br><br> C. 52<br><br> D. 38
Nikolay [14]

C. 52

Work:

(5x - 22) + (4x + 4) = 90

9x - 18 = 90

9x = 108

x = 12

4(12) + 4 =

48 + 4 = 52

6 0
3 years ago
HELP AND ILL GIVE YALL BRAINLIEST
GuDViN [60]

Answer:

c possibly

Step-by-step explanation:

6 0
3 years ago
926/71 Explain how u got the answer
Gala2k [10]

Answer:

Step-by-step explanation:

926/71 = 13 Remainder 3

5 0
3 years ago
If Rachel were to paint her living room alone, it would take 2 hours. Her sister Fran could do the job in 5 hours. How many hour
snow_tiger [21]

Rachel and her sister Fran together can paint the living room in \frac{10}{7} hours

Given that

Rachel can paint half of the living room in 1 hour

Fran can paint \frac{1}{5}th part of the living room in 1 hour

Let's assume together they paint the living room in x hours

⇒ together they can paint \frac{1}{x}th part of the living room in 1 hour

By proportions,

⇒\frac{1}{2}+\frac{1}{5}= \frac{1}{x} {using operation proportions and addition}

⇒\frac{7}{10}=\frac{1}{x}

⇒x=\frac{10}{7}        

⇒ together they can paint \frac{7}{10}th part of the living room in 1 hour

It means, Rachel and her sister Fran together can paint the living room in \frac{10}{7} hours

Learn more about paint here:

brainly.com/question/15277377

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6 0
1 year ago
X and Y are independent random variables. X is normally distributed with mean 1 and variance 1. Y is normally distributed with m
g100num [7]

Answer:

1

Step-by-step explanation:

Equation of variance:

Total Variance = sum (i=1, N) {c^2,variance^2}

= c1^2*variance1^2 + c2^2*variance2^2 + .....

Variance of X = 1

Variance of Y = 5

Variance of Y - 2X = (1^2)*(5) - (2^2)**(1)

= 5 - 4 = 1

8 0
3 years ago
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