Chess

How many ways can select 4 fields on a classic chessboard with 64 fields so that fields don't have the same color?

Correct answer:

n =  952320

Step-by-step explanation:

$n=32\cdot 32\cdot (32-1)\cdot (32-2)=952320$

Try another example

Showing 2 comments:

Mathfun

Picking 4 out of 64 is 64*63*62*61/4! = 635,376
This answer seem way too big

2 years ago  Like

Mathfun

My attempt Pick 4 out of 64, 635,376 ways
Pick 4 of the same color is 2*32*31*30*29 / 4! = 71,920
Subtract the two is ways not all 4 are same color = 563,456

2 years ago  Like

Related math problems and questions:

• Salami
  How many ways can we choose 5 pcs of salami if we have 6 types of salami for 10 pieces and one type for 4 pieces?
• Remainders
  It is given a set of numbers { 170; 244; 299; 333; 351; 391; 423; 644 }. Divide this numbers by number 66 and determine set of remainders. As result write sum of this remainders.
• Subsets
  How many are all subsets of set C = (97, 67, 66, 18, 59, 64)?
• A book
  A book contains 524 pages. If it is known that a person will select any one page between the pages numbered 125 and 384, find the probability of choosing the page numbered 252 or 253.
• The raw
  The raw data presented here are the scores (out of 100 marks) of a market survey regarding the acceptability of new product launched by a company for random sample of 50 respondents: 40 45 41 45 45 30 30 8 48 25 26 9 23 24 26 29 8 40 41 42 39 35 18 25 35
• AS sequence
  In an arithmetic sequence is given the difference d = -3 and a₇₁ = 455. a) Determine the value of a₆₂ b) Determine the sum of 71 members.
• Four prisms
  Question No. 1: The prism has the dimensions a = 2.5 cm, b = 100 mm, c = 12 cm. What is its volume? a) 3000 cm² b) 300 cm² c) 3000 cm³ d) 300 cm³ Question No.2: The prism base is a rhombus with a side length of 30 cm and a height of 27 cm. The height of t
• What is
  What is the probability that the sum of 9 will fall on a roll of two dice? Hint: write down all the pairs that can occur as follows: 11 12 13 14 15. . 21 22 23 24. .. . 31 32. .. . . . . . .. . 66, count them, it's the variable n variable m: 36, 63,. .. .
• Average height
  In a class are 34 students. The average height of the students is 165 cm. What will be the average height of students in the classroom when two pupils, tall 176 cm and 170 cm, moved from this school/class?
• Statistics
  The sum of all deviations from the arithmetic mean of the numerical sequence 4, 6, 51, 77, 90, 93, 95, 109, 113, 117 is:
• Gasoline price 2
  During the COVID-19 pandemic new gasoline price shceme is given by Marilou's Gas Station to help our drivers. On their purchase, the first 4 liters cost Php120.00, while the succeeding 1 1/2 liters would cost Php10.00 more than the cost of a liter. If joh
• Annual income
  The annual income (in thousands of $) of fifteen families is 60, 80, 90, 96, 120, 150, 200, 360, 480, 520, 1060, 1200, 1450, 2500, 7200. Calculate the harmonic and geometric mean.
• Divisible by 5
  How many three-digit odd numbers divisible by 5, which are in place ten's number 3?
• Wedding guests
  Fifteen wedding guests could not agree on who would stand in the wedding photo. The groom suggested that all possible sets of wedding guests be made in the photographs.
• City market
  Apples were sold at contractual prices at the city market. Calculate the average price of 1 kg of apples sold: Stand, Sale kg, Price CZK/kg 1 325 6.20 2 194 7.00 3 258 6.50 4 870 5.90 5 275 6.40
• Triangles
  Find out whether given sizes of the angles can be interior angles of a triangle: a) 23°10',84°30',72°20' b) 90°,41°33',48°37' c) 14°51',90°,75°49' d) 58°58',59°59',60°3'
• Concert
  On a Concert were sold 150 tickets for CZK 360, 235 tickets for 240 CZK and 412 for 180 CZK. How much was the total revenues for tickets?