RACHVIK wrote:A rectangular floor measures 2 by 3 meters. There are 5 white, 5 black, and 5 red parquet blocks available. If each block measures 1 by 1 meter, in how many different color patterns can the floor be parqueted?
* 104
* 213
* 577
* 705
* 726
Some expert pls help!!
Floor area = b*h = 2*3 = 6 sq. meters.
Block area = b*h = 1*1 = 1 sq. meters.
Total number of blocks = Floor area/Block area = 6/1 = 6 blocks.
Good combinations = Total possible combinations - Bad combinations
Total possible combinations:
For each block, we have 3 choices: white, black, or red.
Multiplying the number of choices we have for each of the 6 blocks, we get 3*3*3*3*3*3 = 729 possible combinations.
Bad combinations:
Since we have only 5 of each color, all 6 blocks cannot be of the same color. Thus, there are 3 bad combinations: all white, all black, all red.
Good combinations = Total - Bad = 729-3 = 726.
The correct answer is
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