Mike is planning a vacation. He has narrowed down his choices to three types of vacations: coastal, rural, and urban. He uses the spinner shown above, which is evenly divided into 3 sections, to randomly decide which type of vacation to plan. If he spins the spinner 210 times, predict the number of times the spinner would land on the coastal section. A. The spinner would land on the coastal section roughly 35 times. B. The spinner would land on the coastal section exactly 70 times. C. The spinner would land on the coastal section roughly 28 times, but probably not exactly 28 times. D. The spinner would land on the coastal section roughly 70 times, but probably not exactly 70 times.
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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