?What are Permutations? A?permutation?is the number of possible arrangements of a set of objects when the?order?of the arrangements matters A permutation can either be finding the number of ways to...
What is meant by counting principles? The fundamental counting principle states that if there are?m?ways to do one thing and?n?ways to do another there are?m?×?n?ways to do?both?things Applying cou...
How do I use the binomial theorem for fractional and negative indices? How do we use the binomial theorem to estimate a value? The binomial expansion can be used to form an approximation for a valu...
Binomial Theorem What is the Binomial Theorem? The?binomial theorem (sometimes known as the binomial expansion) gives a method for expanding a?two-term?expression in a bracket raised to a power A?b...
What is proof by contradiction? Proof by contradiction?is a way of proving a?result is true?by showing that?the negation can not be true It is done by: Assuming the negation (opposite) of the resul...
What is proof by induction? Proof by induction?is a way of proving a?result is true for a set of integers?by showing that if it is?true for one integer then it is true for the next integer It can b...
What is proof? Proof is a series of logical steps which show a result is?true?for all specified numbers ‘Seeing’ that a result works for a few numbers is not enough to?show?that it will work for al...
What is compound interest? Interest is a small percentage paid by a bank or company that is added on to an initial investment Interest can also refer to an amount paid on a loan or debt, however IB...
Many real-life situations can be modelled using sequences and series, including but not limited to: patterns made when tiling floors; seating people around a table; the rate of change of a populati...
