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!"

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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!"
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.
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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