Question 2 ) A tourist is going to visit 6 different cities in the UK. She can fly to any of the cities at the start of the trip, and from any of the cities to her country at the end of the trip. She can travel between any two pair of cities by two different means of transport (bus or train). I (1) In how many different orders can she choose to visit the attractions? (You should [4%] state which formula you are using, and justify its use.) (if) For any fixed choice of order, how many different ways are there for her to .(4] complete her journey? (You should state which formula you are using, and justify its use.) (b) Use the Fundamental Principle of Counting to compute the total number of different [4%] itineraries available to the student in part (a). (In this context, an itinerary is an order in which to visit the attractions, together with a full choice of means of transport between the railway station and the attractions.) (c) A group of 11 chefs has to choose a team of four head chefs. (1) In how many different ways can this be done if the roles of the head chefs are identical? (You should state which formula you are using, and justify its use.) (ii) In how many different ways can it be done if the roles of the head chefs are all different? (You should state which formula you are using, and justify its use.) (ili) In how many different ways can it be done if there are two management roles for [4%] the head chefs, the second of which requires three chefs