A comprehensive powerpoint that covers the topic of Probability: Counting Strategies. The Powerpoint models solutions to key questions in the topic, followed by questions for the students to do. The ...

20 original Intermediate Maths Challenge-style multiple-choice questions on counting, probability and logic, every one written fresh in the style, format and difficulty of the UKMT Intermediate ...

\[ \#\{ (i_1,i_2,\cdots, i_k) : 1 \leq i_1 < i_2 < \cdots < i_k\leq n\} = \frac 1{k!} \frac{n!}{(n-k)!}\] To see this, understand that each element of the set ...

1) How many ways can one order \(n\) people on a line ? 2) How many ways can one order \(n\) people on a circle or round table (note that rotations are considered equivalent )? 3) How many ways can ...