**Concept:The question tests on the basics of framing equations and solving them.**

**Solution:**

M students received 3 sandwiches

->Every student received 3/m sandwich.

The fourth sandwich was shared b/w (m-4) students.

Each student received 1 / (m-4) sandwich.

Carol has consumed the sandwich at both cases and hence she has consumed

3/m + 1/ (m-4) [These** fractions represent sandwich consumed by 1 student** ]

=3(m-4) + m / m (m-4)

=3m -12 + m / m (m – 4)

4m - 12 / m (m-4) **option (e)**