N Choose K Calculator n=240000, k=100 result
Find out how many different ways you can choose k items from a set of n items without repetition and without order. This number is also called combination number or n choose k or binomial coefficient or simply combinations. See also general combinatorial calculator.Calculation:
Ck(n)=(kn)=k!(n−k)!n! n=240000 k=100 C100(240000)=(100240000)=100!(240000−100)!240000!≈1.101×10380
The number of combinations: 1.101950E+380
110195016596474398811
131965990565731459785138956648408192523640351861375969959790
176108452306318525911307207057067675301335286001696403428740
070384656391537518093193515599228656561813431116868192807427
100271801835058292881275639096760703995156780511411680690725
142097482573513093154252499648593498195443590590930790091849
689934524443930052818469614912170761422349125004814223237600
131965990565731459785138956648408192523640351861375969959790
176108452306318525911307207057067675301335286001696403428740
070384656391537518093193515599228656561813431116868192807427
100271801835058292881275639096760703995156780511411680690725
142097482573513093154252499648593498195443590590930790091849
689934524443930052818469614912170761422349125004814223237600
A bit of theory - the foundation of combinatorics
Combinations
A combination of the k-th class of n elements is an unordered k-element group formed from a set of n elements. The elements are not repeated and the order does not matter. In mathematics, such unordered groups are called sets and subsets. The count is called a combination number and is calculated as follows:Ck(n)=(kn)=k!(n−k)!n!
A typical example: we have 15 students and need to choose 3. How many ways can this be done?
Foundation of combinatorics in word problems
- 2nd class combinations
From how many elements can you create 2346 combinations of the second class? - Event probability
The probability of event N in 5 independent experiments is 0.4. What is the probability that the event N occurs in one experiment (chance is the same)? - Lines
How many points will intersect 27 different lines where no two are parallel? - Probabilities
If probabilities of A, B, and A ∩ B are P (A) = 0.62, P (B) = 0.78, and P (A ∩ B) = 0.26, calculate the following probability (of the union. intersect and opposite and its combinations): - Cinema
How many ways can 11 free tickets to the premiere of "Jáchyme throw it in the machine" be divided between 6 pensioners? - Trinity - triads
How many different triads can be selected from group 36 students? - Weekly service
There are 29 pupils in the class. How many opportunities has the teacher randomly selected for two pupils to have a week-class service? - Seven-segmet
Helen is amused that he punched a calculator (seven-segment display) number and used only digits 2 to 9. Some numbers have the property that She again gave their image in the axial or central symmetry some number. Determine the maximum number of three-dig - Raffle
How many raffle tickets must be purchased by Peter in a raffle with issued 200 tickets if he wants to be sure to win at least a third price? The raffle draws 30 prices. - Variations 3rd class
From how many elements can we create 13,800 variations of the 3rd class without repeating? - Disco
At the disco, there are 12 boys and 15 girls. In how many ways can we select four dancing couples? - Combinations of sweaters
I have four sweaters: two white, one red, and one green. How many ways can you sort them out? - Roll the dice
What is the probability that if we roll the dice, a number less than five falls? - Topic probability
There are eight styles of graduation topics in the Slovak language. The Minister of Education draws 4 of them. How likely is he to choose at least one of the pairs? - Fourland - characters
In Fourland, they only have four letters F, O, U, and R, and every word has exactly four letters. No letter may be repeated in any word. Write all the words that can be written with them.
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