n choose k calculator n=300, k=2 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=300 k=2 C2(300)=(2300)=2!(300−2)!300!=2⋅1300⋅299=44850
The number of combinations: 44850
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
- Designated 66594
Marenka is required to read three books out of five designated books. How many ways can three books choose to be read? - Calculation of CN
Calculate: (486 choose 159) - (486 choose 327) - Trinity
How many different triads can be selected from group 38 students? - Student examination
How many ways can a teacher select a group of 6 students to sit in the front row if the class has 13 students?
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