Combinations (1)

Additional Mathematics

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Combinations (1)

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Combination

A process of selection without considering the order and sequence of the objects

Binomial coefficient

Introduction to permutations and combinations

Fundamental concepts in combinatorics, but they differ in how they arrange and select objects from a set

Key difference of permutation and combination

Permutations consider the order of selection, while combinations do not

Practical application of combination

Selecting a group of objects without considering their order, such as choosing a committee

Example scenario of combination

When selecting a president, vice president, and secretary from a group of 10 people using combinations if the order does not matter (if the roles are interchangeable)

Mathematical relationship of permutation and combination

P(n,r)=C(n,r)×r!, which accounts for the different number of arrangements possible for each combination

Restriction on repetition in combination

Ensuring that each object is selected only once

Calculation concept of combination

Generally easier to calculate since order is not a factor in combination

Combination formula

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