Question: DISCRETE STRUCTURE 1.0 BASIC CONCEPTS 1.1 Sets & subsets, Operations on Sets 1.2 Sequences 1.3 Division in the Integers 1.4 Matrices 2.0 LOGIC 2.1 Propositions

DISCRETE STRUCTURE

1.0 BASIC CONCEPTS

1.1 Sets & subsets, Operations on Sets

1.2 Sequences

1.3 Division in the Integers

1.4 Matrices

2.0 LOGIC

2.1 Propositions and logical operations

2.2 Conditional statements

2.3 Methods of proof

2.4 Mathematical induction

question (Chapter 1 - 2):

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1.A statistic of 50000 YouTuber produced the following information:

28500 watch YouTube "Aisyah Istri Rasulullah by Nissa Sabyan",

19500 watch YouTube "Dari ICU ke Liang Lahad by MalaysiaGazette TV",

11500 watch YouTube" Stim ikan Jenahak paling sedap by Sugu Pavithra",

4500 watch YouTube "Aisyah Istri Rasulullah by Nissa Sabyan"and Youtube" Stim ikan Jenahak paling sedap by Sugu Pavithra",

7000 watch YouTube "Aisyah Istri Rasulullah by Nissa Sabyan"and Youtube "Dari ICU ke Liang Lahad by MalaysiaGazette TV",

5000 watch YouTube "Dari ICU ke Liang Lahad by MalaysiaGazette TV"and Youtube" Stim ikan Jenahak paling sedap by Sugu Pavithra", and

5000 do not watch any of the three kinds the YouTube.

i.Label and count the number of all elements involved (E.g: |A| = 28500, etc...).

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ii.How many YouTuber in the statistic watch all three kinds of Youtube?

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iii.How many YouTuber watch exactly two of the Youtube?

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iv.How many YouTuber watch exactly one of the Youtube?

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v.Sketch the Venn Diagram to illustrate the overall problem in this question by showing the related number of involved set. Use a suitable notation to represent each of the set.

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