Question

What is the meaning of permutations and combinations?

Answer 1

Step-by-step explanation:

Permutations and combinations are mathematical concepts that deal with counting the number of different arrangements or selections of objects from a set.

Permutations:

A permutation is an arrangement of objects in a specific order. For example, consider a set of three letters: A, B, and C. There are 3! = 6 possible permutations of these letters, which are ABC, ACB, BAC, BCA, CAB, and CBA. The notation "3!" is the factorial notation, which means 3 × 2 × 1.

Combinations:

A combination is a selection of objects, where the order does not matter. For example, consider a set of three letters: A, B, and C. There are 3 C 2 = 3 possible combinations of two letters from this set, which are AB, AC, and BC. The notation "3 C 2" is the combination notation, which means the number of ways to choose k objects from a set of n objects.

In summary, permutations deal with the arrangement of objects in a specific order, while combinations deal with the selection of objects without regard to the order.

Answer 2

Permutations and combinations are mathematical concepts used to count the number of different ways objects or events can be arranged or selected. A permutation is an arrangement of objects in a specific order, where the order matters. A combination is a selection of objects without regard to the order.

Step-by-step explanation:

Permutations and combinations are mathematical concepts used to count the number of different ways objects or events can be arranged or selected.

A permutation is an arrangement of objects in a specific order, where the order matters. For example, the number of permutations of the letters 'abc' is 6, because we can arrange them as 'abc', 'acb', 'bac', 'bca', 'cab', and 'cba'.

A combination is a selection of objects without regard to the order. For example, the number of combinations of 3 letters chosen from 'abc' is 3, because we can choose 'abc', 'acb', or 'bca'.