Chemistry Level 3

A bit of info

A cross aldol reaction is a aldol reaction between 2 different aldehydes (or even ketones).

The situation you are stuck with

You have $$n$$ aldehydes (all of them $$DISTINCT$$ ) with you on your lab desk, and a large container having $$dil.$$ $$NaOH$$ in front of you. Without your knowledge you pour all the $$n$$ aldehydes into the large container with the alkali.

Lets make it hypothetical

$$n=1000$$

Now you have to find the no. of all possible $$CROSS$$ aldol condensation products that takes place between these aldehydes.

Note: DO NOT consider stereoisomers

all substituents have atleast one alpha-hydrogen.

Feel this is easier , then try this problem

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