Hello, I need to count the number of possibilty to have this state in a connect 4.

[proud sphinx]

Is the key the binomial coefficient ?

[sterile shadow]

me meh ma mo mouu me meh ma mou mo me meh mah mo me meh ma mo ooooooooo

[proud sphinx]

My first observation is that yellow never has a choice

So its only about how many ways red can put it

[cyan fulcrum]

yes you can use binomial coefficient