Counting using Bijective Principle Techniques

This video is about, Counting using Bijective Principle Techniques. Here I considered a simple example to count paths using binary sequence.

[spiderjerusalem]

have you elucidated the similar method but for proof of star&bars method or numbers of non-consecutive numbers?

[SONUKUMAR-vrjg]

May you provide some solution from principal and technics in combinactorics