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H2 Math Summary Notes

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  1. Pure Mathematics

    Inequalities
    1 Question
  2. Graphing Techniques
    7 Questions
  3. Transformation of Graphs
    2 Questions
  4. Functions
    6 Questions
  5. APGP & Recurrence Relations
    6 Questions
  6. Sigma Notation
    6 Questions
  7. Techniques of Differentiation
    2 Questions
  8. Applications of Differentiation
    9 Questions
  9. Maclaurin Series
    2 Questions
  10. Techniques of Integration
    6 Questions
  11. Applications of Integration
    4 Questions
  12. Differential Equations
    2 Questions
  13. Vectors
    11 Questions
  14. Complex Numbers
    6 Questions
  15. Statistics
    Permutation and Combinations
    7 Questions
  16. Probability
    5 Questions
  17. Discrete Random Variable
    4 Questions
  18. Binomial Distribution
    5 Questions
  19. Normal Distribution
    7 Questions
  20. Sampling and Estimation
    8 Questions
  21. Hypothesis Testing
    6 Questions
  22. Correlation and Linear Regression
    5 Questions
H2 Math Summary Notes Permutation and Combinations Worked Example 5
Lesson 15, Question 5
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Worked Example 5

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Given that all balls are identical in shape and sizes. Find the number of arrangements of 3 red balls, 4 blue balls and 5 purple balls in which

(i)

the red balls are separated,

(ii)

the blue balls are separated,

(iii)

the purple balls are separated.

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