If in all 14 students study only German and Norwegian (but no other language), how many students study French, Swedish and Norwegian but not German?

1. Break Down the Problem

We need to find the number of students studying French, Swedish, and Norwegian, excluding those who study German. We are given that there are a total of 14 students who study only German and Norwegian.

2. Relevant Concepts

To analyze the problem, we will use set theory. Let:

• $G$ = set of students studying German
• $N$ = set of students studying Norwegian
• $F$ = set of students studying French
• $S$ = set of students studying Swedish

3. Analysis and Detail

From the problem, we note that all 14 students study either German or Norwegian, meaning that there are no students studying other languages or combinations involving languages outside German and Norwegian. Since we are interested in students studying French, Swedish, and Norwegian, we can conclude that these students must not overlap with the 14 studying German and Norwegian.

4. Verify and Summarize

Since it's stated that only the 14 students are studying German and Norwegian, and there's no indication of any other combinations with French or Swedish, we can deduce that the count of students studying French, Swedish, and Norwegian (but not German) is zero.

Final Answer

The number of students studying French, Swedish, and Norwegian but not German is 0.