O
Omed62
Guest
Re: HSC 2013 4U Marathon
Thanks for your replay... I will start to organise some questions just for you and all other students sa well to help you guys...
Thanks for being so kind my friend... sure I have questions ... I am more than happy to post them up for you...
but could you please answer these questions becuse I had some trouble with them...
As you guys no that probability is one of the hardest topics that some students struggle, so I have posted some probability questions...
Eg. 4: A group of 12 people are to be divided into discussion groups. In how many ways
can the discussion groups be formed if there are 3 groups containing 4 people each?
Your working:
Solution:
1. Select four people from the twelve to go into the rst group. There are 12C4 ways of doing this.
2. Select four people from the remaining eight to go into the second group. There are 8C4 ways of doing this.
3. Select four people from the remaining four to make the last group. There are 4C4 ways of doing this.
4. These groups are not dierent from each other, so we must divide by 3! to avoid counting some ways more than once.
Finally ans. ?
Eg. 5: (MX1 2000 (6)
A standard pack of 52 cards consists of 13 cards of each of the four suits: spades, hearts, clubs and diamonds.
(a) In how many ways can six cards be selected without replacement so that
exactly two are spades and four are clubs?
(b) In how many ways can six cards be selected without replacement if at least
ve cards must be of the same suit?
1. ( MX1 2001 (2c) part ii)
How many arrangements of the letters of the word ALGEBRAIC are possible if
the vowels must occupy the 2nd, 3rd, 5th and 8th positions?
2. ( MX2 2002 (4c) part ii)
From a pack of nine cards numbered 1, 2, 3, : : : , 9, three cards are drawn at
random and placed from left to right. What is the probability that the digits are
drawn in descending order? [Hint: for example, 9, 5 and 1 in that order]
3. ( MX2 2003 (4c) part i)
A hall has n doors. Suppose that n people choose any door at random to enter the hall. In how many ways can this be done?
Eg. 8: (MX2 2004 (5b) part ii)
In how many ways can ve students be placed in three distinct rooms so that no
room is empty?
Enjoy guys
God bless you my friends,thanks heaps bro
do u have any practise questions for 4unit? my half yearlies are soon man
god bless u so much my friend
Thanks for your replay... I will start to organise some questions just for you and all other students sa well to help you guys...
Thanks for being so kind my friend... sure I have questions ... I am more than happy to post them up for you...
but could you please answer these questions becuse I had some trouble with them...
As you guys no that probability is one of the hardest topics that some students struggle, so I have posted some probability questions...
Eg. 4: A group of 12 people are to be divided into discussion groups. In how many ways
can the discussion groups be formed if there are 3 groups containing 4 people each?
Your working:
Solution:
1. Select four people from the twelve to go into the rst group. There are 12C4 ways of doing this.
2. Select four people from the remaining eight to go into the second group. There are 8C4 ways of doing this.
3. Select four people from the remaining four to make the last group. There are 4C4 ways of doing this.
4. These groups are not dierent from each other, so we must divide by 3! to avoid counting some ways more than once.
Finally ans. ?
Eg. 5: (MX1 2000 (6)
A standard pack of 52 cards consists of 13 cards of each of the four suits: spades, hearts, clubs and diamonds.
(a) In how many ways can six cards be selected without replacement so that
exactly two are spades and four are clubs?
(b) In how many ways can six cards be selected without replacement if at least
ve cards must be of the same suit?
1. ( MX1 2001 (2c) part ii)
How many arrangements of the letters of the word ALGEBRAIC are possible if
the vowels must occupy the 2nd, 3rd, 5th and 8th positions?
2. ( MX2 2002 (4c) part ii)
From a pack of nine cards numbered 1, 2, 3, : : : , 9, three cards are drawn at
random and placed from left to right. What is the probability that the digits are
drawn in descending order? [Hint: for example, 9, 5 and 1 in that order]
3. ( MX2 2003 (4c) part i)
A hall has n doors. Suppose that n people choose any door at random to enter the hall. In how many ways can this be done?
Eg. 8: (MX2 2004 (5b) part ii)
In how many ways can ve students be placed in three distinct rooms so that no
room is empty?
Enjoy guys
Last edited by a moderator: