n choose k calculator n=1000, k=60 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=1000 k=60 C60(1000)=(601000)=60!(1000−60)!1000!≈1.974×1097=197427486218598388064452908675908420972703393149 784491186780026746419525030751717480339089899764 00
The number of combinations: 1.974274862186×1097
19742748621859838806445290867590842097
270339314978449118678002674641952503075171748033908989976400
270339314978449118678002674641952503075171748033908989976400
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
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