Answer to Question #284266 in Discrete Mathematics for Opera

Question #284266

F. How many different sequences, each of length r, can be formed using elements



from A if



(a) elements in the sequence may be repeated?



(b) all elements in the sequence must be distinct?


1
Expert's answer
2022-01-17T16:06:22-0500

Let the set AA consistss from nn distinct elements, nr.n\geq r.

(a)

nrn^r sequences, each of length rr can be formed using elements from AA if elements in the sequence may be repeated.


(b)

P(n,r)=n!(nr)!P(n, r)=\dfrac{n!}{(n-r)!} different sequences, each of length rr can be formed using elements from AA if all elements in the sequence must be distinct.



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