Question 30 (2 points) A combination lock opens with the correct four-digit code. Each wheel rotates through the digits 1 to B. For each of the following, correct work must be shown with your answer to receive full credit. (3 marks) a} How many different four-digit codes are possible? b) Suppose each number can be used only once in a code. How many different codes are possible when repetition is not allowed? Question 29 (2 points) There are 12 bikes in a spinning class. The bikes are arranged in 4 rows, with 3 bikes in each row. Aisha, Lily, and Nathan each call the gym to reserve a bike. They hope to be in the same row, but they cannot request a specific bike. Determine the probability that all 3 friends will be in the same row, with Aisha and Lily at either end. Answer to the nearest tenth of a percent and show your work to receive full marks. (2 marks)Question 28 (2 points) Atian, Sam, Phuong, Mike, and Tariq are competing with ten other boys to be on their school's cross-country team. All the boys have an equal chance of winning the trial race. Determine the probability that Atian, Sam, Phuong, Mike, and Tariq will place first, second, third, fourth, and fifth, in any order. Answer to the nearest thousandth of a percent and show your work to recieve full marks. (3 marks)Question 27 (2 points} A conveyor belt sushi restaurant lets you choose what to eat from differentucolourecl plates that go by. You pay based on the colours of the plates. After lunch. Ming stacks her 2 red plates and 4 green plates while Rudo stacks his 3 green plates, 1 red plate. and 2 blue plates. Calculate how many different ways they can stack the plates. Show your work to receive full marks. (2 marks)