Problem 181
Investigating in how many ways objects of two different colours can be grouped.

Having three black objects B and one white object W they can be grouped in 7 ways like this:

(BBBW) (B,BBW) (B,B,BW) (B,B,B,W) (B,BB,W) (BBB,W) (BB,BW)

In how many ways can sixty black objects B and forty white objects W be thus grouped?

These problems are part of Project Euler and are licensed under CC BY-NC-SA 2.0 UK