Could someone explain me the rationale behind this formula ? Posted from GMAT ToolKit
We have 5 books A,B,C,D,E and 4 copies of each. Therefore we have A1,A2,A3,A4,B1,B2,B3,B4,C1,C2,C3,C4,D1,D2,D3,D4,E1,E2,E3,E4 = 20 BOOKS
The way to rearrange 20 items is by 20x19x18x17x16....=20!
Lets keep in mind that we rearrange our 4 copies of each book by 4x3x2x1=4!
Therefore we have 5 items repeated 4 times and we need to account for the copies resulting in 20! divided by 4!x4!x4!x4!x4!
Result is option C = 20!/(4!)^5