n choose k calculator n=240000, k=100 result
Find out how many different ways you can choose k items from n items set 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 a 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 it does not matter the order of the group's elements. In mathematics, disordered groups are called sets and subsets. Their number is a combination number and is calculated as follows:Ck(n)=(kn)=k!(n−k)!n!
A typical example of combinations is that we have 15 students and we have to choose three. How many will there be?
Foundation of combinatorics in word problems
- Family
What is the probability that a family with 3 children has: exactly 1 girl? 2 girls and 1 boys? Consider the birth probability of a girl as 48.66% and a boy as 51.34%. - Dice
How many times must you throw the dice, and was the probability of throwing at least one päťky greater than 50%? - Seating
How many ways can 7 people sit on 5 numbered chairs (e.g., seat reservation on the train)? - Playing cards
How many possible ways are there to shuffle 8 playing cards?
- 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? - Two doctors
Doctor A will determine the correct diagnosis with a probability of 89% and doctor B with a probability of 75%. Calculate the probability of proper diagnosis if both doctors diagnose the patient. - Area codes
How many 6 digit area codes are possible if the first number can't be zero? - 2nd class variations
From how many elements can you create 5112 variations of the second class? - Chords
How many 4-tones chords (chord = at the same time sounding different tones) is possible to play within 7 tones?
- Guests
How many ways can 8 guests sit down on 10 seats standing in a row? - Examination
The class is 25 students. How many ways can we choose 5 students for examination? - Bits, bytes
Calculate how many different numbers can be encoded in a 16-bit binary word. - Subsets
How many 19 element subsets can be made from the 26 element set? - 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)?
How many rectangles with area 8855 cm² whose sides are natural numbers?more math problems »
