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.
please give an answer to question D and E
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Lan Ying works at a company that produces different sizes of square tiles for
bathrooms and kitchens.
She determines shipping costs by calculating the perimeter of each tile.
*The perimeter is determined by adding the lengths of the 4 sides of each tile.
a) Calculate the perimeter, and complete the table below (the first row has been
given).
cm had
Side Perimeter
length
(cm)
1
(cm)
2 cm by 2 cm
3 em by 3 cm
4
3
4
b) Describe what happens to the perimeter of each tile when the side length increases
by one centimetre.
c) Construct a graph of the perimeter of a tile versus the side length of the tile.
Label the axes and include a scale
The independent variable goes on the horizontal axis.
(it is the quantity that changes on its own i.e. time)
The dependent variable goes on the vertical axis.
(it is the quantity that we are looking for the change in/reaction as
units of the independent variable increase i.e. distance, cost, ..)
Note:"

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Step by step
Solved in 2 steps with 2 images
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