1,043 prompts matching "Structured question: permutation versus combination in one paper"
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Give me practice on logical equivalence
Act as my SS2 Further Maths tutor. Give me five pairs of compound propositions and ask me
Teach me what a tautology is
Act as my SS2 Further Maths tutor. Teach me what a tautology is in propositional logic, gi
Quiz me on tautologies
Act as my SS2 Further Maths tutor. Quiz me with four compound statements and ask me each t
Quiz me on argument validity
Act as my SS2 Further Maths tutor. Quiz me with three logical arguments, each with two pre
Teach me predicate logic basics
Act as my SS2 Further Maths tutor. Teach me the basics of predicate logic, including what
Teach me the universal and existential quantifiers
Act as my SS2 Further Maths tutor. Teach me the difference between the universal quantifie
Quiz me on predicate logic statements
Act as my SS2 Further Maths tutor. Quiz me by giving me statements written in everyday lan
Give me practice with predicate logic
Act as my SS2 Further Maths tutor. Give me five practice problems that require translating
Quiz me on the laws of logarithms used to solve an equation
Act as my SS2 Further Maths tutor. Quiz me with five expressions that I must simplify usin
Teach me the equation of a circle
Act as my SS2 Further Maths tutor. Teach me how to find the equation of a circle given its
Teach me the basic trigonometric identities
Act as my SS2 Further Maths tutor. Teach me the basic trigonometric identities, including
Quiz me on trigonometric identities
Act as my SS2 Further Maths tutor. Quiz me with four trigonometric identities that I must
Teach me arithmetic progressions
Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t
Teach me geometric progressions
Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t
Teach me what a complex number is
Act as my SS2 Further Maths tutor. Teach me what a complex number is, including the meanin
Teach me what a matrix is
Act as my SS2 Further Maths tutor. Teach me what a matrix is, including the meaning of its
Teach me what a vector is
Act as my SS2 Further Maths tutor. Teach me the difference between a vector and a scalar,
Teach me the dot product of two vectors
Act as my SS2 Further Maths tutor. Teach me how to calculate the dot product of two vector
Worked example: standard deviation of a small data set
Act as my SS2 Further Maths tutor. Show me a full worked example of calculating the varian
Teach me measures of dispersion for grouped data
Act as my SS2 Further Maths tutor. Teach me how to estimate the mean and standard deviatio