Explanation:

- We know C is the shortest, so C's height should be less than all other people's heights.

- A is 172 cm tall. A is taller than E but shorter than F.

- F is not the tallest but is taller than A and shorter than B.

- B is taller than F, so B must be taller than 172 cm.

- Therefore, F must also be taller than 172 cm.

- C, being the shortest, must be shorter than 172 cm.

Now, checking the options for C:

- Option 1: 178 cm - Too tall for C.

- Option 2: 180 cm - Too tall for C.

- Option 3: 173 cm - Too tall for C.

- Option 4: 175 cm - Too tall for C.

- Option 5: 167 cm - This fits, as it’s less than 172 cm.

Therefore, the height of C can be 167 cm. .