Combination v permutation
Combination order doesn’t matter
Permutation order matters

Permutation
-can be with replacement, which means same probability every time N x n x n x n (r times)
-Without replacement: decrease in possibilities: n x (n-1) x(n-2) etc (n!/(n-r)!)

Combination

Without repetition (like lottery): you assume its permutation then you divide by r! (there are r! ways to arrange when order counts) (n!/ r!(n-r)!)

the sum of the angles in any polygon is 180 x (number of angles -2) the variance is the average of the squared differences between mean and number (the standard deviation is the √variance) interest = principle x rate x time, x0=1

the diagonal in a rectangle = √(L2+l2)
the sum and difference of two even numbers or two odd numbers is even consecutive even integers are expressed as 2n, 2n+2, 2n+4; odd is 2n+1, 2n+3… thousands, hundreds tens ones (units). Tenths hundredths thousandths, which means 0.321 = 3/10 + 2/100 + 1/1000 mode is the number that occurs most frequently

range: greatest number – lowest
scientific notation is written n x 10a
median of an even number of numbers is the average of the two middle items, median of an odd number of numbers is the middle number number
the more the data is spread away from the mean the greater the standard dev. 0!=1!=1

Pobability of E or F = Probability of E + Probability of F – Probability (E and F), when P(E and F)= 0, E and F are called mutually exclusive when A and B are independent the occurance of one has no effect on the other (calculate the occurance of one then calculate it knowing that the other event took place and check whether the probability is the same)

a2-b2= (a-b) (a+b)
ax2+bx+c=0 then x = (-b+√(b2-4ac))/2a or x=(-b-√(b2-4ac))/2a xr/s = s√xr

when dealing with inequalities < or >, and multiplying or dividing with (-) you need to invert the symbol 1/8 = 12.5% 1/6= 16.6 % 1/9 = 11.1% 1/3=33.3%...

...f=Friction force, N=normal force. The value of μ has no units since it only serves as a factor between F and N. In order to obtain a constant value for the μ, one has to consider state of equilibrium for the object being experimented. We also took note of the fact that 0 < u < 1.
In cases which there is an angle of repose, all forces involved are being translated with accordance to the surface’s inclination. The weight will now have components that contribute to the...

...
The case between Beauty and Stylish involves concept of a valid contract, pre-contractual statements, express term and misrepresentation.
A valid contract is established between Beauty and Stylish when an offer is accepted and there is intention for both parties to create legal relations. An offer refers to the expression of willingness of the offerer to be contractually bound by an agreement if his or her offer is properly accepted. It has to be clear and certain in terms. It must also...

...the title, or between the title and the text. Margins should be approximately 1.5 inches all around. The last page of your paper (a separate page) should be your Works Cited page. It should be formatted like the one in SMG, pp. 737-738. Please note that entries must be alphabetized and that the first line of each entry should be flush with the margin, but all successive lines should be indented 5 spaces. This is called a “hanging indent.”
Assignment: Write an essay...

...approach used by any other tenor is passive and hence incorrect on GMAT
The correct sentence is
His approach is different from the approach of any other tenor
4) Any Sentence construction with ‘preposition + noun + participle’
e.g. With child-care facilities included (with – preposition, child-care – noun, included – participle)
Infinitives like ‘to include’, ‘to implement’ etc. are wrong on GMAT. Instead use,...

...Chapter 11
Four Decades of the Defence of
Australia: Reflections on Australian
Defence Policy over the Past 40 Years
Hugh White
The serious academic study of Australian defence policy can be said to have
begun with the publication of a book by the SDSC’s founder, Tom Millar, in
1965. The dust jacket of that book, Australia’s Defence, posed the following
question: ‘Can Australia Defend Itself?’ Millar thus placed the defence of Australia
at the centre of his (and the SDSC’s) work...

...Nicolas, Fatima May D.
2014 45876
My Math Experience
When I was younger math was my favorite subject, it was something that I felt very confident
with. Unlike english, history, and literature, where I had to exert extra effort, math was the only
subject that really came naturally to me. I remember when I was a kid my dad would test me on ...

...• What were the most revolutionary social and economic developments of the last quarter of the nineteenth century?
• How did different groups of Americans respond to those changes and how effective were their responses?
• What role did government play in these developments?
In the late 1900s some of the most social and economic developments were railroads, steel oil, the type writer cash register, light bulb and agriculture. The development of the railroad made it easier for immigrant to...

...Yr 10
Mathematics
Assignment
LCR Maths
By Adonis Chigeza
Understanding and Fluency Tasks
Task A
1. y = 1.2𝑥 + 2.57
2. Interpolation: y = -3.43
Extrapolation: y = -8.23
Task B
a) The equation for the path of the ball is h = -0.1t^2 + 0.9t + 1 (h = height, t = time)
b) The vertical height of the ball after 2. seconds2.664m
c) The maximum height reached by the ball is 3.025m
d) The time of with the ball is at maximum height of 3.025 is 4.5 seconds
e) The total...

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