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Mathematics 4 ESO – Unit 12 COMBINATORICS AND PROBABILITY extra activities

1 –  Watch the video on “Fundamental Counting Principle” and answer:

  • a) How do we calculate the total possible outcomes?
  • b) Why does she have 3 · 2 possible dinners?
  • c) How many possible ways could she make her dinner if she had two types of pasta and four types of sauce?
  • d) In the tree diagram for the family, why are there three columns?
  • e) In the tree diagram for the family, why n=2 ?
  • f) How many possible outcomes would there be if the family had four children?
  • g) Solve: Jimmy has two pairs of shoes, three trousers and five different shirts. How many different ways can he get dressed?

2 –  Watch the video on “Permutations” and answer:

  • a) In how many ways can we arrange the order of letters A and B?
  • b) In how many ways can we arrange the order of letters A, B, C and D?