Sunday Times Teaser 3077 – Shuffling Series Schedules
by Colin Vout
Published Sunday September 12 2021 (link)
A TV company planned a set of programmes to fill a weekly slot (one programme per week for many weeks) with six consecutive series of three different types (Arts, Biography and Comedy). None of the series was followed by another of the same type (eg, there could be an Arts series for three weeks then a Comedy series for four weeks and so on). Then it decided to change the order of the series within the same overall slot, but to minimise disruption it would not alter the gaps between series of the same type. It did this by scheduling each of the three Arts series 6 weeks earlier than first planned, each of the two Biography series 20 weeks later than first planned, and the Comedy series 21 weeks earlier than first planned.
How many programmes are there in each of the six series (listed in their final order)?