Suppose that 44 identical red wooden blocks and 99 identical white wooden blocks are to be stacked, one on top of another, to form one tall tower of blocks. How many different colour patterns can result?

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