9514 1404 393
Answer:
10
Step-by-step explanation:
Possible tower heights using 3 blocks are ...
{9, 10, 11, 12, 14, 15, 16, 19, 20, 24}
There are 10 different heights possible.
_____
Each block can be used 1, 2, or 3 times.
Using a 3 in block as the smallest, we have ...
3+3+3 = 9
3+3+4 = 10
3+3+8 = 14
3+4+4 = 11
3+4+8 = 15
3+8+8 = 19
Using a 4-in block as the smallest, we have ...
4+4+4 =12
4+4+8 = 16
4+8+8 = 20
And ...
8+8+8 = 24
