The number of permutations of a set of n elements equals________.
To fill in the blanks in the statement, “The number of permutations of a set of elements equals _____.”
The statement is given as, “The number of permutations of a set of elements equals ____.”
Consider a set with number of different elements.
The all possible permutations without any replacements in a row can be calculated as follows.
In a certain permutation there are spaces to assign these elements.
Consider the first elements. There are number of possible ways to fill the first space. After the first space is filled, there are only elements.
Then there are ways to fill the second space. Now. The total number of possibilities is
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