# Chess

How many ways can select 4 fields on classic chess board with 64 fields, so that fields don't has the same color?

Correct result:

n =  952320

#### Solution:

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

We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!

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

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

Tips to related online calculators
Would you like to compute count of combinations?

## Next similar math problems:

• 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?
• 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
• 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.
• 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.
• Annual income
The annual incomes (in thousands of \$) of fifteen families is: 60, 80, 90, 96, 120, 150, 200, 360, 480, 520, 1060, 1200, 1450, 2500, 7200 Calculate harmonic and geometric mean.
• 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?
• Bricks pyramid
How many 50cm x 32cm x 30cm brick needed to built a 272m x 272m x 278m pyramid?
• 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 base of the prism is a rhombus with a side length of 30 cm and a height of 27 cm. The heig
• In a
In a right triangle, the areas of the squares above its sides are 169; 25 and 144. The length of its longer leg is:
• Described
Calculate perimeter of the circle described by a triangle with sides 478, 255, 352.
• 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
• 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.
• The pond
We can see the pond at an angle 65°37'. Its end points are 155 m and 177 m away from the observer. What is the width of the pond?
• 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?
• Sails
We known heights 220, 165 and 132 of sail. It has triangular shape. What is the surface of the sail?
• Standard deviation
Find standard deviation for dataset (grouped data): Age (years) No. Of Persons 0-10 15 10-20 15 20-30 23 30-40 22 40-50 25 50-60 10 60-70 5 70-80 10
• 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.