1. Let A = (0, 2, 4, 6, 8), B = (0, 1, 2, 3, 4) and C = (0, 3, 6, 9). What are a. AUBUC and b. AnBn C?
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.
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4G
+ Module for MAT...
Sultan Kudarat State University
May Flor L. Tapot, MST
ASSESSMENT TASK
Exercise 1.2 - e
Mathematical Language and Symbols
Name:
Program & Section:
Date:
Score:
Solve for the following: Write your answer in a whole sheet of paper.
1. Let A = (0, 2, 4, 6, 8}, B = (0, 1, 2, 3, 4) and C = (0, 3, 6, 9). What are
a. AUBUC and
b. AnBn C?
2. Find the union of A = (2, 3, 4) and B = {3, 4, 5).
3. If A and Bare two sets such that A SB, then what is A U B?
4. Find the union, intersection and the difference (A – B) of the following
pairs of sets.
a) A = The set of all letters of the word FEAST
B = The set of all letters of the word TASTE
b. A = {x :x€ w, 0 <x<7}
B = {x :x € W, 4 <x < 9}
c. A= {x/x€ N, x is a factor of 12)
B = {x /x€ N, x is a multiple of 2, x < 12}
d. A = {x:x€ l, -2 < x< 2}
B = {x :x€ I, -1 <x < 4}
e. A = {a, I, m, n, p}
B = (q. r, I, a, s, n}
53
Sultan Kudarat State University
May Flor L. Tapot, MST
References:"
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4G
e Module for MAT...
67
Sultan Kudarat State University
May Flor L. Tapot, MST
ASSESSMENT TASK
Exercise 1.3 -c
Reasoning
Name:
Program & Section:
Date:
Score:
Write the proof of the following on the space provided:
1. If 5x – 8 = 12, then x = 4.
Statement
Reasons
2. If -2(3x + 5) = -17 + x, then x = 1.
Statement
Reasons
3. Write the geometric proof of the following:
Given: IE bisects < MIK
<ΕΙK -< ΧΥΖ
Prove:
<MIE = < XYz
Statement
Reasons
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