To find: The difference between the permutation and combination and an example to illustrate the explanation.
Expert Solution & Answer
Answer to Problem 66AYU
The difference between the permutation and the combination with the example is illustrated.
Explanation of Solution
Consider the formula for the permutation is,
P(n,r)=n!(n−r)!
Here, n is the total number of objects and r is the total number of objects selected.
Consider the formula for combination is,
C(n,r)=n!(n−r)n!
In permutation the arrangement of the number of selected items is important to obtain a new arrangement whereas in combination the arrangement of the selected items is irrelevant.
Consider the example, if two digits are selected by the use of A and B, then AB and BA are different, this is permutation.
If three teachers are selected the arrangement of the teachers is irrelevant and is known as the combination.
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