9709 P51 - Jun 2024 - Q7 - 10 marks
9780
The eight digits 1, 2, 2, 3, 4, 4, 4, 5 are arranged in a line.
(a) How many different arrangements are there? [1]
(b) How many have a 2 at each end and the three 4s not all together? [4]
Three digits are selected randomly from these eight individual tiles.
(c) Find the probability that all three digits are different. [5]
