Question 121

In an MBA entrance examination, a minimum is to be secured in each of the 6 sections to qualify the cut-offs. In how many ways can a candidate fail to secure the cut-offs?

Solution

Number of ways in which the candidate can secure the cut-offs in all 6 sections = $$6C_{6}$$ = 1

Number of ways of securing marks in 6 sections

= $$6C_{0} + 6C_{1} + 6C_{2} + 6C_{3} + 6C_{4} + 6C_{5} + 6C_{6}$$

= $$2^{6}$$ = 64

Thus, the number of ways in which he fails to secure the cut offs in at least one section = 64 − 1 = 63