THEOREM 2.4 The number of distinct permutations of n things of which n1 are of one kind, n2 of a second kind, of a kth kind is ...) n! n1!n2! ... nk!"
THEOREM 2.4 The number of distinct permutations of n things of which n1 are of one kind, n2 of a second kind, of a kth kind is ...) n! n1!n2! ... nk!"
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
can you explain the difference of this two theorem?
its in under topic counting sample points
![THEOREM 2.4
The number of distinct permutations of n things of which n1 are of one kind, n2
of a second kind,
nk of a kth kind is
...
n!
n1!n2! ... nk!"](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd212d306-2899-4e16-9275-6d4d45e547fb%2F35d27b15-1cd4-4246-aeb2-e2c907dab808%2Fbaou81y_processed.png&w=3840&q=75)
Transcribed Image Text:THEOREM 2.4
The number of distinct permutations of n things of which n1 are of one kind, n2
of a second kind,
nk of a kth kind is
...
n!
n1!n2! ... nk!"
![THEOREM 2.5
The number of ways of partitioning a set of n objects into r cells with n1 elements
in the first cell, n2 elements in the second, and so forth, is
n!
n1, n2,· ·•,
n1!n2! -.. n„!
where nj + n2 + :….
+ nr = n.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd212d306-2899-4e16-9275-6d4d45e547fb%2F35d27b15-1cd4-4246-aeb2-e2c907dab808%2Fxnq7cz_processed.png&w=3840&q=75)
Transcribed Image Text:THEOREM 2.5
The number of ways of partitioning a set of n objects into r cells with n1 elements
in the first cell, n2 elements in the second, and so forth, is
n!
n1, n2,· ·•,
n1!n2! -.. n„!
where nj + n2 + :….
+ nr = n.
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