# Its cross ketols this time!

Chemistry Level 3

After having fun with the cross aldol problem you start experimenting with $$n$$ mixed ketones: such that the substituent on one ketone is not present on any of the $$n-1$$ ketones. Now you mix all these $$n$$ ketones in a large trough with $$dil.$$ $$NaOH$$ solution.

Hypothetical again !

$$n=1000$$

Now find the no. of $$CROSS$$ ketol condensation products that are formed.

DO NOT consider stereoisomers

all substituents have atleast one alpha-hydrogen.

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