Combinations
BCA, ABC, and BCA are same __________. Formula: nCr = nPr/r!
Combinations are arrangements of elements where order doesn’t matter. They are used in probability, statistics, and other branches of mathematics. A combination is a selection of objects, items or elements without regard to their order or arrangement. In other words, a combination is a group of items, where the order in which they are arranged does not matter. For instance, selecting any three letters from a set of letters (say A, B, C, D, and E) is an example of combination.
There are two types of combinations: [n choose k] and [n choose r] combinations.
The [n choose k] combination takes a set of ‘n’ elements and selects ‘k’ elements from it. For instance, we could have [5 choose 3], which means selecting any three items from a set of five items. The formula for calculating [n choose k] combination is:
nCk = n! / [(n-k)! * k!]
The [n choose r] combination is similar to the [n choose k] combination, but it allows for the selection of any number of elements less than or equal to ‘n’ (i.e., it accommodates ‘k’ which is less than or equal to ‘n’). The formula for calculating [n choose r] combination is:
nCr = n! / [(n-r)! * r!]
In summary, combinations help in solving problems that involve selecting or choosing items or elements from a larger set without considering their order or sequence. They are important in many areas of mathematics, including probability, statistics, and discrete mathematics.
More Answers:
Exploring Cd Technology: A Comprehensive Guide To Compact Discs And Their Capacity, Types, And UsesMastering Word Problems: A Six-Step Guide To Analyzing And Solving Math Problems
Effective Problem-Solving Strategies For Mathematics: Tips And Techniques For Success