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.
![Name:
UNIT 5 • SIMILARITY, RIGHT TRIANGLE TRIGONOMETRY, AND PROOF
Lesson 1: Line Segments
Date:
Practice 5.1.1: Midpoints and Other Points on Line Segments
For problems 1-3, the endpoints of a segment are given. Calculate the indicated point for each segment.
1. Determine the midpoint of the segment with endpoints (-10, -11) and (8, –17).
3
2. Determine the point that is
the distance from the endpoint (-6, -16) of the segment with
4
endpoints (34, 2) and (-6, –16).
1
3. Determine the point that is
3
endpoints (-9, -18) and (6, 24).
the distance from the endpoint (6, 24) of the segment with
For problems 4 and 5, find the coordinates of the second endpoint given one endpoint and the
midpoint of the segment.
4. endpoint (-10, 3) and midpoint (3.5, 4)
5. endpoint (22, 0) and midpoint (7, 8)
continued
SWB p. 13; SRB Practice 5.1.1 p. U5-15
O Walch Education
U5-24
CCSS IP Math II Teacher Resource
5.1.1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2f1bd42e-0fe3-4c41-a7a6-a1a14d728281%2F9032cb41-4294-4b0c-b5ac-1f8b53959f5a%2Fifuhcmb_processed.jpeg&w=3840&q=75)
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