Combinatorial chemistry is a powerful method for generating large libraries of compounds for high-throughput screening. One variation of this method involves mix-and-split synthesis to generate the library, followed by recursive deconvolution to identify the molecular structures of the "hits" arising from the screen. A 27-member library was prepared by mix-and-split synthesis in three steps. Each step involved three different building blocks: A, B,C,1,2, 3, and a, b,c. The library afforded one hit. In a recursive deconvolution of the library, how many compounds would need to be made and tested to determine the identity of the hit? For a hypothetical three-step library of steps involving x,y and z building blocks, how many compound syntheses would be required for recursive deconvolution? How many compounds would be required to perform a recursive deconvolution of a four-step library of m, n, o and p building blocks? 2. Combinatorial chemistry is a powerful method for generating large libraries of compounds for high-throughput screening. One variation of this method involves mix-and-split synthesis to generate the library, followed by recursive deconvolution to identify the molecular structures of the "hits" arising from the screen. A 27-member library was prepared by mix-and-split synthesis in three steps. Each step involved three different building blocks: A, B,C,1,2, 3, and a, b,c. The library afforded one hit. In a recursive deconvolution of the library, how many compounds would need to be made and tested to determine the identity of the hit? For a hypothetical three-step library of steps involving x,y and z building blocks, how many compound syntheses would be required for recursive deconvolution? How many compounds would be required to perform a recursive deconvolution of a four-step library of m, n, o and p building blocks? 2