Among the seniors at a small high school , 80 take math , 41 take spanish and 54 take physics .Ten seniors take math and spanish , 19 take math and physics , and 12 take physics and spanish . Seven seniors take all three .How many seniors take math take math but not spanish or physics ?

Explanation

To solve the problem step by step, we will use the principle of inclusion-exclusion and break down the information given in the question.

### Step-by-Step Solution:

1. **Identify the given values:**
- Let \( M \) be the set of seniors taking Math: \( |M| = 80 \)
- Let \( S \) be the set of seniors taking Spanish: \( |S| = 41 \)
- Let \( P \) be the set of seniors taking Physics: \( |P| = 54 \)
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