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Answer:
An arrangement (or ordering) of a set of objects is called a permutation. (We can also arrange just part of the set of objects.)
In a permutation, the order that we arrange the objects in is important
Example:
Consider arranging 3 letters: A, B, C. How many ways can this be done?
Solution:
The possible permutations are
ABC, ACB,
BAC, BCA,
CAB, CBA.
Hence, there are six distinct arrangements.
Another way of looking at this question is by drawing 3 boxes.
Probability explanation
Any one of the A, B, C goes into the first box (3 ways to do this), and then the remaining one of the two letters goes into the second box (2 ways to do this), and the last remaining letter goes into the third box (only one way left to do this).
Hence, total no of ways 3×2×1 = 6