From how many elements, can we create 720 permutations without repetition?
Answers
Step-by-step explanation:
The number of permutations of n elements is: Pn=n! (n factorial), where n is the number of elements of the set.
The formula for combinations without the repetitions is as follows: n! r! (n−r)
We create 720 permutations without repetition with 6 elements.
A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."
Let us consider the number of elements as n, as the permutation value is given. We will have find nPn and its value is given as 720.
nPn=720
nPn=n!/ (n-n)!= n!/0!= n!
n!=720
which implies n=6, since 6!=720
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