You are investigating a multi-component reaction (which uses three reagents, \(A, B\) and \(C\) ) to make a library of compounds. Assuming you have 12 chemicals which can act as \(A, 5\) which can act as \(B\) and 8 which can act as \(C\), and that you wish to make all the possible variants, how many 96 well plates would you need to use?

Short Answer

Expert verified
You would need 5 plates.

Step by step solution

01

- Calculate the total number of variants

The number of compounds that can be formed from these reagents can be found by simply multiplying the number of each kind of reagent together, hence \(12 * 5 * 8 = 480\) combinations.
02

- Calculate the number of plates required

Given the capacity of each plate is 96 wells, the number of plates required would then be the total combinations divided by the plate capacity, hence \(480 / 96 = 5\) plates.
03

- Analyze the remaining wells

The final calculation of our total plates is a decimal number, which means there are remaining wells in the last plate which will not be filled up fully. We can calculate the number of remaining wells by finding the modulus (the remainder from division) of total combinations and the plate capacity, hence \(480 \% 96 = 0\).

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