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.
Answer question 12 with the figure to the right.
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7. g-1 ®
h =
d = 1 0
8. j=?
k =?
117
(130
38
108
78
9. Developing Proof What's wrong 10. Developing Proof What's 11. Three regular polygons meet
with this picture?
Wrong with this picture?
at point.1. How many sides
does the largest polygon have?
82
102
154
135
49
12. Developing Proof Trace the
figure at right. Calculate each
lettered angle measure. Explain
how you determined the
measures of angles d, e, and f.
36
160°
106
116
13. How many sides does a
polygon have if the sum of its
angle measures is 2700°?
98
14. How many sides does an
equiangular polygon have if
each interior angle measures
156°? O
116"
138
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Solved in 2 steps with 1 images
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