These two words permutation and combination, at the initial level are very confusing and are generally used interchangeably. So let’s take them one by one and understand them.
Combination means from the given certain objects (may be alike or different) selecting one or more objects. Combination can also be replaced by the words – selection, collection or committee.
For Example – Combination of top 5 cricket players from the team of 11 players is the selection of 5 players (in any order).
The sequence in which they have to be selected is not important here. Also we can say that the order of selection is not the concern in the case of combination
The word
permutation means
arrangement of the alike or different objects taken some or all at a time. So we can observe the word ‘arrangement’ used in the definition of permutation. Here the arrangement means selection as well as ordering. That means the order in which the objects are selected have also been taken care of in this case.
For Example – The number of 5 digit numbers which can be formed using the digits 0, 1, 2, 3, 4 and 5.
In this example, we just not have to select the 5 digits out of given 6 digits but also have to see the number of possible cases for the different arrangement. So the numbers 34251, 21034, 42351 are all different cases.
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