A college food court surveyed 420 students to see how many drink soda and how many drink coffee. The Venn diagram below shows the results. (Each number gives the number of students who fall into that Venn diagram category.) CAll students in the survey- (a) How many of the students do not drink soda? Drink soda Drink coffee |students 96 57 188 (b) How many of the students drink soda or coffee (or both)? students 79 (c) How many of the students drink soda but do not drink coffee? students
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 with 2 images