In the warehouse of a car tyre factory, there are 1200 tyres of a certain type. Among these, there are 25 tyres that have a defect, 30 tyres for which the sell-by date has expired, while the remaining 1145 are suitable for sale. A car tyre retail store orders 20 tyres of this type from the factory. If the 20 tyres are randomly selected (from the 1200 tyres) and sent to the retail store, what is the probability that among them there are

(i) exactly five tyres suitable for use?

(ii) exactly 3 tyres with a defect and 15 tyres suitable for use?

(iii) exactly 15 tyres suitable for use and at least 3 tyres for which the sell-by date has expired?