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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.
Cramming One Thursday, researchers gave students
enrolled in a section of basic Spanish a set of 50 new
vocabulary words to memorize. On Friday the students took
a vocabulary test. When they returned to class the following
Monday, they were retested—without advance warning.
Both sets of test scores for the 25 students are shown below.
butions of scores.
Friday and Monday.
c) Create a graphical display showing the distribution of
the changes in student scores.
d) Describe the distribution of changes.
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