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

Showing 2 comments:
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
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 for related online calculators
See also our permutations calculator.
See also our variations calculator.
Would you like to compute the count of combinations?
See also our variations calculator.
Would you like to compute the count of combinations?
You need to know the following knowledge to solve this word math problem:
Related math problems and questions:
- Wagons
We have six wagons, two white, two blue, and two red. We assemble trains from them, wagons of the same color are exactly the same, so if we change only two white wagons on a train, it's still the same train because I don't know any difference. How many di
- Indistinguishable 48981
How many ways can we build eight indistinguishable towers on an 8 × 8 board, so they don't endanger each other?
- Transport 7668
The coupon allows you to travel by public transport with a 20% discount cost of 300 CZK. If the ticket costs CZK 20, how often do we have to go after buying coupons so we don't lose out on buying coupons?
- Decide 2
Decide whether points A[-2, -5], B[4, 3], and C[16, -1] lie on the same line
- Green - Red
We have 5 bags. Each consists of one green and 2 red balls. From each, we pull just one ball. What is the probability that we don't pull any green ball?
- Opportunities 8372
There are 20 students in the class, four of them are being tested by the teacher. How many options are there to choose who the teacher will test?
- Infinity
A square with a side 19 long is an inscribed circle, and the circle is inscribed next square, circle, and so on to infinity. Calculate the sum of the area of all these squares.
- Yesterday 6386
The student was nine years old yesterday. How many days old is he? When a year has 365 days. And don't forget how much is a leap year.
- Chessboard 80533
How many ways can one white and one black square be selected on an 8x8 chessboard if the selected squares cannot lie in the same row or column?
- First class
The shipment contains 40 items. 36 are first-grade, and four are defective. How many ways can we select five items so that it is no more than one defective?
- Shots
Determine the percentage rate of keeper interventions if 32 shots don't catch four shots.
- Top of the tower
The top of the tower has the shape of a regular hexagonal pyramid. The base edge has a length of 1.2 m. The pyramid height is 1.6 m. How many square meters of sheet metal are needed to cover the top of the tower if 15% extra sheet metal is needed for join
- Lengths of the pool
Miguel swam six lengths of the pool. Mat swam three times as far as Miguel. Lionel swam 1/3 as far as Miguel. How many lengths did Mat swim?
- Family 8
Father is 38 years old, the daughter is 12, and the son is 14. How many years will a father have as many years as his children together?
- News
From 28 students buy magazines, 10 The economist students, 10 Pravda students, and 18 students don't buy any of these magazines. How many students buy both magazines?
- Wall paper
Suppose you want to paper your walls. Wallpapers are available in 4 different backgrounds colors with seven different designs of 5 different colors. In how many ways can you select your wallpaper?
- Hexagonal 6684
The drawer has five pairs of green and six pairs of blue gloves stored in a hexagonal way (without ice and storage). How many gloves do you have blindly remove so that there is a pair of the same color outside?