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BodhiAI
Nov. 15, 2019

Distribution of Distinct Objects Into Groups/persons:

 

When objects are distinct 

When objects are distinct, i.e. differentiation can be made between objects while making selection, then the following cases arises.

I. Number of permutations of n things taken all at a time when things are not all different. 

Out of n things, 

p are exactly alike of one kind

q are exactly alike of second kind 

r are exactly alike of third kind 

and the remaining things are discrete or dissimilar. 

Then the number of permutations of n things taken all at a time is

 

II The number of ways in which a Selection of One or More (i.e. at least one) objects can be made from n Distinct Objects is 

III The number of ways in which a selection of none, one or more objects can be made from n Distinct Objects is