Parmjit has 8 base ten blocks. She has at least one of each type of block. The value of her blocks is between 400 and 600. What blocks could she have? Find the possible answers using an organized list.

2 answers

1) There are 3 Hundreds:
among the 7 remaining blocks, at least 5 must be tens and the other 2 block can either be tens or one ---> 2^2 = 4 possibilities!!
2) There are 4 Hundreds:
the 6 remaining blocks can either be tens or ones ---> 2^6 = 64 possibilities!!
3) There are 5 Hundreds:
the 5 remaining blocks can either be tens or ones---> 2^5 = 32 possibilities!!
You have 4 + 64 + 32 = 100 possibilities!!!
where are 307