Question

Explain the difference between a permutation and a combination. Give an example to illustrate your explanation.

Short answer

The difference between permutation and combination is - in permutation the order of the members/objects is taken into consideration but in combination orders of members/object does not matter

Example of permutation : If we need to find out the total number of possible outcomes of two out of three objects namely A, B, C we will get AB, BA, BC, CB, AC, CA because order is taken in to consideration

Example of combination : If we need to find out the total number of possible outcomes of two out of three objects namely A, B, C we will get AB, BC and CA because order in not taken into consideration

Step-by-step solution

. Given Information

We are given permutation and combination and we need to find the difference between them and give example for each

. Difference between permutation and combination

The difference between permutation and combination is that in permutation the order/arrangement of the members/objects is taken into consideration but in combination orders/arrangement of members/object does not matter

. Example of permutation and combination

If we are to find out the outcome of two of three object namely A,B,C then we will get the result as :

For permutation - AB, BA, BC, CB, AC, CA because order is relevant

For combination - AB,BC,CA because order is irrelevant