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.
Only answer question 7 and 8
![1 What are the coordinates of B?
2 What is the equation of g?
3 Write down the equation of the line that is perpendicular to the graph of g and passes through
В.
4 Find the equation that defines f.
5 Show that C has coordinates (2; 8) .
6 (a) What is the distance between A and C?
(b) Find the midpoint D of AC.
(c) Write down the equation of the circle that has AC as diameter.
.7 Find the maximum vertical distance between the graphs of f and g on the interval r E [0; 6] .
Hint: First find an expression which defines this vertical distance.
.8 Use the graphs of f and g (not calculations) to solve
f (x) · g (x) > 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1278f489-7dc1-4cea-9794-fbbeee0b008f%2Ffbeeac85-8299-4b9e-9d33-b03a74a73983%2Fzbujijj_processed.png&w=3840&q=75)
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