a rectangular floor measures 2 by 3 meters.
there are 5 white, 5 black and 5 yellow parquet blocks available.
Each block measures 1*1 meter.
In how many different color patterns can the floor be parqueted?
Can someone please tell me why we cannot approach this problem as follows:
We have a total of 15 tiles. We need 6 to fill the floor. The way we can choose 6 tiles out of 15 is 15C6 = 5005.
What is wrong with this logic? I'm assuming that this approach does not account for color combinations? If so, how can we tweak this approach to solve the problem?
I'm pathetic w/ perms & combs so thanks for your help.