44 identical red wooden blocks can be arranged in 44! ways
99 identical white wooden blocks can be arranged in 99! Ways
If the 44 red blocks and the 99 white blocks are to be stacked on top of one another, the number of different color patterns that can result = 44! x 99!
44! = 2.65827157 x 10^54
99! = 9.33262154 x 10^155
44! x 99! = 2.48086426 x 10^210
Therefore, 2.48086426 x 10^210 different color patterns can result
