a) A software company has hired new staffs with particular expertise as shown on the Table...

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a) A software company has hired new staffs with particular expertise as shown on the Table (1): Table (1) Expertise Number of Staff Python Programming 20 R Programming 15 Java Programming 10 i. In how many ways can two representatives be picked so that one is expert on Java programming and the other is expert on R programming? (1 mark) ii. In how many ways can one representatives be picked who is either an expert on Java programming or Python programming? (1 mark) iii. In how many ways can three representatives be picked so that two must expert on Java programming and the other is either expert on Python programming or R programming? (3 marks) b) You are given a word RELATION. Answer the following: i. How many words with length more than six (inclusive) can be formed? Assuming that any arrangement of letter forms a 'word'. (3 marks) ii. How many ways can the letter in that word be arranged if the letters RE must remain next to each other (in order) as a unit? (2 marks) a) A software company has hired new staffs with particular expertise as shown on the Table (1): Table (1) Expertise Number of Staff Python Programming 20 R Programming 15 Java Programming 10 i. In how many ways can two representatives be picked so that one is expert on Java programming and the other is expert on R programming? (1 mark) ii. In how many ways can one representatives be picked who is either an expert on Java programming or Python programming? (1 mark) iii. In how many ways can three representatives be picked so that two must expert on Java programming and the other is either expert on Python programming or R programming? (3 marks) b) You are given a word RELATION. Answer the following: i. How many words with length more than six (inclusive) can be formed? Assuming that any arrangement of letter forms a 'word'. (3 marks) ii. How many ways can the letter in that word be arranged if the letters RE must remain next to each other (in order) as a unit? (2 marks)