Alexandra and Chi compete in an Olympic-type triathlon consisting of a 1.5 km swim, a 40 km bicycle ride, and a 10 km run. There are two transitions in the race where the participants take time to change from one mode of the race to another. Their times from the race are shown. Complete questions 1-4 below. Alexandra Chi 6 km/hr Swim Transition 1 Сycle 5 km/hr 4 minutes 5 minutes 15 km/hr 15 km/hr Transition 2 3 minutes 5 minutes Run 6 km/hr 7.5 km/hr 1. How long does it take Alexandra to complete the triathlon? Write a linear equation to model the total time t in hours. cycle time swim transition 1 transition 2 run total time time time time time +
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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