1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
valina [46]
2 years ago
14

The number of ways in which 4 squares can be chosen at random on a chess board such that they lie on a diagonal line?.

Mathematics
1 answer:
wariber [46]2 years ago
5 0

The number of ways is 364 if the number of ways in which 4 squares can be chosen at random.

<h3>What are permutation and combination?</h3>

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

It is given that:

On a chessboard, four squares are randomly selected so that they are adjacent to each other and form a diagonal:

The required number of ways:

= 2(2[C(4, 4) + C(5, 4) + C(6, 4) + C(7, 4)] + C(8, 4))

= 2[2[ 1 + 5 + 15+35] + 70]

= 364

Thus, the number of ways is 364 if the number of ways in which 4 squares can be chosen at random.

Learn more about permutation and combination here:

brainly.com/question/2295036

#SPJ4

You might be interested in
Jayden's monthly bank statement showed the following deposits and withdrawals:
kifflom [539]

Answer:

  • - $17.89

Step-by-step explanation:

<u>Initial balance:</u>

  • $85.62

<u>Adding deposits: </u>

  • $85.62 + $86.90 + $6.74 = $179.26

<u>Subtracting withdrawals:</u>

  • $179.26 - ($73.59 + $7.81 + $115.75) =  - $17.89

<u>End balance:</u>

  • - $17.89
8 0
3 years ago
Cindy earned $618.00 on her last paycheck. Two-thirds of what she earned was commission, How much did Cindy earn in commission o
Arisa [49]
Cindy earned $412.00 in commission on the paycheck.
Explanation:
Divide 618 by 3 to split the money into thirds.
618/3 = 206
1 third of 618 = 206
Since her commission was two thirds of 618, multiply 206 by 2.
206 x 2 = 412
Your answer is $412
7 0
3 years ago
How many three-letter sequences are possible that use the letters q,u,a,k,e,s at most once each?
Angelina_Jolie [31]
6P3 => 6!/(6-3)! = 120.

I can't very well explain, but I hope it works.
8 0
3 years ago
Eric must wear one of 5 pairs of pants and one of 4 shirts. how many different possible outfits consisting of 1 pair of pants an
Rashid [163]
One possible outfit is available because 1 pair of pants and 1 shirt is one outfit
3 0
3 years ago
Why does a calculator return an error when trying to find inverse sine of 1.055?
anyanavicka [17]
Sin(x) is a function bounded between -1 and 1. A value greater than 1 or smaller than -1 (-1.1, for instance) does not correspond to any real angle.

It then returns error

6 0
3 years ago
Read 2 more answers
Other questions:
  • How long will it take you to drive 120 miles at a speed of 15 miles per hour
    11·2 answers
  • How many times wider is 2ft than the width of 2in
    10·2 answers
  • A bookstore is selling books for 10 bucks each which grape shows the relationships between the number of books x, the store sold
    12·1 answer
  • If Sally made an 84% on her math test that had 25 questions, how many questions out of the 25 did Sally answer correctly?
    11·2 answers
  • how do I find a whole number x so that the ratio x:113 is a better estimate for pi than 22/7 and 3.14
    8·1 answer
  • Help me plz the first number if four
    6·1 answer
  • I need help in 2 3 4 5 6 7 8
    14·1 answer
  • The graph of the function f(x) = (x + 2)(x − 4) is shown.
    15·2 answers
  • Porfa lo necesito para hoy
    11·1 answer
  • How to turn percent to fraction?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!