# Three Mistakes of My Life

**Discrete Mathematics**Level 3

The probabilities that a student passes in Mathematics, Physics and Chemistry are \(M\), \(P\) and \(C\) respectively.

Of these subjects, the student has a **75%** chance of passing in at least one, a **50%** chance of passing in at least two, and a **40%** chance of passing in exactly two.

Then for real values of \(x\), find the sum of all coefficients of \(x\) (including the constant term) in the
expansion of \((x-M)(x-P)(x-C)\).

**Assumptions and Clarifications**

- The required sum must also include the constant term.