• Mathematics Extension 1
  • Year 11

Permutations, Combinations and Binomial Distribution

approx. 6 hrs

2 topics

11 concepts

Develop greater skills in Permutations, Combinations and Binomial Distribution and advance into Year 12 with confidence.

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This learning program covers the essential components of the Year 11 Extension 1 Permutations, Combinations and Binomial Distribution learning requirements as specified in the NSW Mathematics syllabus. In this program, we show students how to demonstrate competence in applying probability theory to solve problems using counting techniques including permutations and combinations. In addition, we help students recall and apply the theory for binomial distribution to solve complex probability questions.

Topics & Concepts We Cover

This learning program is made up of the following 2 topics, broken down into 11 concepts.

  • Counting Techniques 9 concepts

    1. Permutations without restrictions

    2. Permutations with restrictions

    3. Problems that require both permutations and combinations

    4. Factorial notation

    5. Permutations with a circular arrangement

    6. Permutations when some objects are identical

    7. Combinations without restrictions

    8. Combinations with restrictions

    9. Use the fundamental counting theorem to determine the number of outcomes for a multistage experiment

  • Binomial Probability Distribution 2 concepts

    1. The probabilities of success and failure are to be calculated

    2. The probabilities of success and failure are given

What you'll get

Learning Content

  • A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
  • All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

  • We match you to a private, expert tutor who is right for your needs and goals
  • Our tutors are talented, tested, top ATAR achievers and subject experts
  • During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in Permutations, Combinations and Binomial Distribution


  • Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
  • You and your parents receive a comprehensive feedback report after every session
  • Every session is recorded and available for you to watch at any time, allowing you to review what was covered

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Starting at

$49(inc. GST)

per session

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Access to practice questions

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