Question 32
Vanessa wishes to choose $50$ distinct positive integers less than $100$ such that the sum of any two chosen numbers is always different from $99$ and $100$.
(a) Show how she can achieve this.
(b) Show there is only one way to choose these $50$ numbers.
(a) Show how she can achieve this.
(b) Show there is only one way to choose these $50$ numbers.