3. Josh wants to rent a car. He has narrowed his choices to a sedan, a compact, or an economy car. The colours available are black, red, or white. He may also choose between a standard or an automatic transmission. Determine the total number of options Josh has. (PC1.3) -1- Math 30-1 ~unit four- permutations, combinations & the binomial theorem review PCBT 2 Determine the number of permutations of n elements taken r at a time to solve problems. PCBT 2.1 Count, using graphic organizers such as lists and tree diagrams, the number of ways of arranging the elements of a set in a row. 4. A car purchaser has a choice of two upholstery materials (leather, nylon) and four colours (blue, white, black, and red). How many choices are there for the upholstery in the car? (PC2.1) PCBT 2.2 Determine, in factorial notation, the number of permutations of n different elements taken nat a time to solve a problem. 5. Find the number of different arrangements using all the letters of the word EDMONTON. 1 ( n 2)..(3)(2)(1) (PC2.2) 6. Calculate 95! (PC2.2) 93! 7. Determine the number of different arrangements using all the letters of the word ACCESSES that (PC2.2) a) begin with exactly two S's. b) begin with at least two S's. c) Explain why the answers in questions (a) and (b) are different