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
- Party
At the party, everyone clinked with everyone. Together, they clink 406 times. How many people were at the party? - Bits, bytes
Calculate how many different numbers can be encoded in a 16-bit binary word. - Orchard
10 trees in 5 lines grow in the orchard. How many trees are in the orchard? - Cards
How many ways can you give away 32 playing cards to 7 player?
- Trinity
How many different triads can be selected from group 38 students? - travel agency
A small travel agency offers five different honeymoon tours. What is the probability that the bride and groom will choose the same tour (they will choose independently)? - Positions 26151
How many positions are there to store three books on the shelf? - Football league
There are 16 teams in the football league. How many different sequences of results may occur at the end of the competition? - Disco
At the disco, there are 12 boys and 15 girls. In how many ways can we select four dancing couples?
- Distribution 2645
The worker operates 600 spindles on which the yarn is wound. The probability of tearing the yarn on each spindle at time t is 0.005. a) Determine the probability distribution of the number of torn spindles at time t and the mean and variance. b) What is t - Fourland 3542
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. - Different 4117
The florist has 18 tulips and 15 freesias. How many different bouquets can she make if she uses all the flowers? How many freesias will there be in one bouquet? - Represented 4324
A bag contains 20 candies in five different flavors: cherry, lemon, orange, mango, and cola. We know that there is at least one of each flavor in the pocket and that there are twice as many lemons as cherry ones. How many ways can different flavors be rep - Natural 5474
How many natural numbers can we create less than 301 from the number 0,1,2,3,6,7?
Six purses Nine flaps 12 straps Every combination must include one purse, one flap, and one strap. How many are possible combinations?more math problems »
