Our student clubs are being particularly active. The aquatics club in particular is in training for an
Question:
Our student clubs are being particularly active. The aquatics club in particular is in training for an upcoming competition. For all parts of this question, working is required, including combinatric/factorial notation as needed as well as final answers.
a) * [2+ 1 + 2 = 5 marks] During training, there are several different types of laps that can be swum:
- Freestyle
- Arms only freestyle
- One arm only, left then right
- Torpedo/kickboard (straight kicking legs only)
- Backstroke
- Breaststroke
Assume that each type is undertaken at most once in a training session, so once you have completed your freestyle laps, you do not repeat frees for each lap type is unimportant, that is, 4 laps of freestyle followed by same as 3 laps of freestyle followed by 4 laps of backstroke.
i. How many different lap type patterns can be formed from those six types?
ii. How many patterns contain only three types (e.g., freestyle - arms only- one arm only?
iii. How many patterns with at least four different types start with lops?
Expert Answer:
i There are total six types hence the different lap type patterns that can be formed ... View the full answer
