From a class of 12 girls and 15 boys, 12 students are to be chosen for a competition including 7 boys and 5 girls. The two girls and 3 boys who won the prizes last year should be included . In how many ways can the selection be made ?

Explanation

To solve the problem of selecting 12 students from a class of 12 girls and 15 boys, including 7 boys and 5 girls, where 2 girls and 3 boys are already included, we can follow these steps:

### Step 1: Identify the fixed selections
We know that 2 girls and 3 boys are already included in the selection. This means we have:
- Fixed girls: 2
- Fixed boys: 3

### Step 2: Determine the remaining selections needed
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