how to do question b

(a) Three letters are selected from the seven letters of the word "TITANIC". Find the number of arrangements of the 3-letter selections that can be made that contain: (i) two T's. (3 marks) (ii) exactly one I. (4 marks) ( b ) In a group of 12 professional musicians, all of them play cello or bass or both. Given that 7 play cello and 3 play both cello and bass. (1) Represent the above information in a Venn diagram. (3 marks) (1i) How many different ways to select 5 musicians from that group of musicians if 3 of them play only one instrument? (3 marks) (C ) A sales representative, is staying overnight at a hotel and has a breakfast meeting with an important client the following morning. He asked the room service to give him a wake-up call that morning in order that he will be prompt for the meeting. The probability that the room service remembers to make the call is 0.9. If the call is made, the probability that he will be on time is 0.9, but if the call is not made, the probability that he will be on time is 0.6. Find the probability that: (1) he is not on time for the meeting. (3 marks) (11) the call is made or he is on time for the meeting. (4 marks) (iii) the call is made given that he is on time for the meeting.