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    HSC 2015 MX2 Permutations & Combinations Marathon (archive)

    Re: 2015 permutation X2 marathon The probability they all go through one door is actually 1 / [n^(n-1)] Although you have my answer, I don't see how it follows from your first line.
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    HSC 2015 MX2 Permutations & Combinations Marathon (archive)

    Re: 2015 permutation X2 marathon See what happens with your answer when n=4.
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    ATAR estimate please

    That brings back good mammaries.
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    2014 BOS Trial Extension 2 Exam Results Thread

    Ahh no - I have a reputation to protect.
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    HSC 2015 MX2 Permutations & Combinations Marathon (archive)

    Re: 2015 permutation X2 marathon The answer for anyone who wants to peek: 1 - n! / (n^n)
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    HSC 2015 MX2 Permutations & Combinations Marathon (archive)

    Re: 2015 permutation X2 marathon Drsoccerball's solution is correct. 3!/2! = 3, and there most definitely is 3 ways to arrange 4,4,2 or 4,3,3. Another thought process (but same calculation): (For the 4,4,2 case): Pick the 2 first: 10C2 Pick the room for those two: 3 Pick one of the...
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    HSC 2015 MX2 Permutations & Combinations Marathon (archive)

    Re: 2015 permutation X2 marathon I can see your answer when I "reply with quote". It's hard to tell without proper formatting, but it seems to be correct.
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    HSC 2015 MX2 Permutations & Combinations Marathon (archive)

    Re: 2015 permutation X2 marathon * There are n balls in a bag, numbered with consecutive integers 1 to n. Show that the probability that if p balls are chosen that no chosen ball has number 1 to q is the same as the probability that if q balls are chosen that no chosen ball has number 1 to p.
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    Sketching in Pencil

    From the board - "Pencil may be used only where specifically directed."
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    Post Trials Atar Estimate

    Hmmm - which top 5 school has 5 Ext 2 maths classes?
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    ATAR estimate please

    My wish is that before I die, every student will understand the moderating process. But of course I don't believe in miracles.
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    urgent Internal ranking & marks question

    Why are you looking at worst case scenarios? Do you really think this scenario is possible if all 5 were so close internally?
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    HSC 2015 MX1 Marathon (archive)

    Re: HSC 2015 3U Marathon You'd better read the question again - it's not asking for the highest velocity.
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    Permutations question

    That's what I'm saying - OP has it correct.
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    Probability HSC question

    Part (ii) doesn't need any calculation. The probability that the car is on the last level he happens to choose is clearly one in three.
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    Permutations question

    Whoever provided the other solution had a valid method, but got their numbers wrong. The possible arrangements are: Vcccc cVccc ccVcc cccVc ccccV So the 4 times 3! for the vowels should have been 5 times 3!. They must have assumed 4 consonants equates to 4 places for the vowels - the...
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    4U maths textbook

    OR .... you could pay for a copy and allow the authors to get the reward they deserve.
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    Determining Rate Change in an Investment Question

    Here is the solution: As you can see from the final answer, your choice of 2.4 was not ideal either - any lower and it would not have worked again (because 1.01375^64 is 2.396).
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