To find out how many pumpkins Farmer Brown will have for the children to pick, we need to multiply the number of rows by the number of pumpkins in each row.
Farmer Brown has:
- 216 rows of pumpkins
- 32 pumpkins in each row
We can calculate the total number of pumpkins as follows:
\[ \text{Total number of pumpkins} = \text{Number of rows} \times \text{Number of pumpkins per row} \] \[ \text{Total number of pumpkins} = 216 \times 32 \]
Now, let's perform the multiplication:
\[ 216 \times 32 \]
We can simplify this calculation by breaking it down:
\[ 216 \times 32 = 216 \times (30 + 2) = 216 \times 30 + 216 \times 2 \]
Calculating each part:
\[ 216 \times 30 = 6480 \] \[ 216 \times 2 = 432 \]
Adding these together:
\[ 6480 + 432 = 6912 \]
Therefore, the total number of pumpkins Farmer Brown will have for the children to pick is:
\[ \boxed{6912} \]