In a group of 100 children, `32%` play hockey `64%` play football and `40%` play cricket `14%`play hockey and football, `15%` play football and cricket, `13%` play hockey and cricket. Only `6%` play all the three games. How many children play hockey or football but not cricket?

Explanation

To solve the problem, we will use the principle of inclusion-exclusion and Venn diagrams to find the number of children who play hockey or football but not cricket.

### Step-by-Step Solution:

1. **Identify the Total Number of Children**:
- Total children = 100

2. **Convert Percentages to Actual Numbers**:
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