A kindergarten class was surveyed to determine the children's favorite cartoon characters among Mickey Mouse, Bugs Bunny, and Scooby Doo. The students ranked the characters in order of preference; the results are shown in the preference schedule below. Rankings Mickey Mouse 1 2 2 3 Bugs Bunny 2 3 3 Scooby Doo 2 1 1 Number of students: 5 4 8 (a) How many students are in the class? students (b) How many votes are required for a majority? votes (c) Using plurality voting, which character is the children's favorite? O Mickey Mouse O Bugs Bunny Scoob Doo O There is a tie between Mickey Mouse and Bugs Bunny. O There is a tie between Mickey Mouse and Scooby Doo.
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.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps