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pascal triangle: count comb Show nCk = (n-1)Ck + (n-1)C(k-1)
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MPPET 1996 Hindustan: trig integral ∫ sin^2(x) -cos^2(x)/(sin^2(x) cos^2(x)) dx
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logic Idempotent law show x=xVx
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Pantun Melayu [Sorong papan tarik papan]
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Pantun Melayu [Buah cempedak di luar pagar]
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A box contains 8 blue & 6 red socks. What is the number of ways that 2 socks can be drawn ...
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Conversion: Permutation - Combination vice versa
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Texas Tech: 5 ways trig Differentiate g(x)=cos^2(x)
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Screen Recording 2024-05-05 at 11.28.23 PM
logic: contradiction p∧¬p
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Suppose z is differentiable funtion of x & y that is defined implicitly x^2+y^3-z+2yz^2=5
JHU: integral ∫t^3 e^(t^2) dt
logic: tautology p→q≡(¬q→¬p)
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prob stat The events A & B are s.t P(A)=5/12, P(B)=2/3 & P(A' n B')=1/12.
review: prob stat Population variance vs sample variance
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count comb: How many subsets does {{{118},{{18,19,20,21,...,118}},{{{118}}} }} have?
matrix product: AB=0 where A≠0 & B≠0
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1st/2 ways: derivative y=(ln(x))^x
examples 2x2 matrix withOUT an inverse
5th/10parts: Material implication