BodhiAI

Nov. 15, 2019

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