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  1. M

    help with problem solving

    Thanks, but are those books only test papers or actually teaching problem solving strategies? Anyways, I was wondering if you can help with the two problems given above?
  2. M

    help with problem solving

    Trying to find help with the following 2 questions: 1) Terry has a solid shape that has four triangular faces. Three of these faces are at right angles to each other, while the fourth face has side lengths 11, 20 and 21. What is the...
  3. M

    Logic - negation

    Hi is this in the 4unit course or some random things?
  4. M

    Logic - negation

    Just wonering if we want to find the negation of an implication, is it wrong to add in the word "IF", and if so why? For example, the negation of "If A, then B" should be "A and not B", but why can't we say "IF A and not B" or are these both correct?
  5. M

    pigeon hole principle help!

    Hmm, i don't quite get this... PHP says if you have more holes than pigeons, then there is at least one hole with more than 1 pigeon. You have 9 pigeons(stamps) and 3 holes(line of 3), so there is at least one hole with more than 1 stamp, which has no relation to the question for the following...
  6. M

    pigeon hole principle help!

    But according to my school, we need to identify what are the pigeons and the pigeon holes in every problem, and there must be more pigeons than pigeon holes for PHP to work, can you elaborate please?
  7. M

    pigeon hole principle help!

    Consider a 3cmX3cm grid, made of nine 1X1cm squares. If you are to put a stamp in the squares, what is the maximum number of stamps you can make without having 3 stamps diagonally, vertically or horizontally? Obviously the answer is 6 by intuition, but how can you use pigeon hole principle to...
  8. M

    Help with Network/minimum cut theorem

    can someone help?
  9. M

    Help with Network/minimum cut theorem

    please see photo
  10. M

    BoS Maths Trials 2019

    So obviously the answer is 42C9
  11. M

    BoS Maths Trials 2019

    Thanks, but i think this is way over the top for 4unit. I saw a way a teacher did it through binary. The analogy goes something like this: 1 0 1 1 1 1 0 0 0 is a binary string of length 10. In a binary string of length 50, how many ways are there to have a string with exactly nine lots...
  12. M

    BoS Maths Trials 2019

    As a quick warm up for tomorrow, can anyone answer with reasons Given 50 cards with the integers 1, 2, 3, ... 50 printed on them, how many ways are there to select 9 distinct cards, such that no two cards have consecutive numbers printed on them?
  13. M

    help on abstract perms and combs

    I think its 42C7 or something
  14. M

    help on abstract perms and combs

    Given 50 cards with the integers 1, 2, 3, ... 50 printed on them, how many ways are there to select 9 distinct cards, such that no two cards have consecutive numbers printed on them? Detailed explanation appreciated! Thanks
  15. M

    Conflicting Probability Question

    Is the formula you used the law of total probability? Is that in the syllabus?
  16. M

    Perms and combs help

    Twelve people sit around two tables labelled A(5 seats) and B(7 seats), how many ways can this be done. The solution says 12C5*4!*6! which i understand works. I was thinking doing 1*11*10*9*8* 1*6*5*4*3*2*1 which gives a different answer. My logic is, the first person that sits down on table A...
  17. M

    pls help

    Question: Sugar is dissolved in water in the ratio 1:3 to form sugar syrup. This sugar syrup is further diluted with the addition of water so that the ratio of the sugar syrup to the additional water is 5:7. FInd the ratio of sugar to water in the final mixture.
  18. M

    AMC practice

    Hi can anyone explain the following? Two identical coins are placed one inside and one outside a thin circular wire, which has twice the diameter of each coin. Each coin is rolled, without slipping, around the wire until it returns to its starting point. If the direction of rotation does not...
  19. M

    parametrics question

    Umm if you try expanding and simplifying don't you get 0=0 which is saying we havent found a catesian relation?
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