8.01 Counting techniques
Interactive practice questions
A university has $5$5 flagpoles and $8$8 different flags. In how many ways can the flags be arranged on the $5$5 flagpoles? (Only $1$1 flag per flagpole and order of flagpoles does matter.)
A board of directors wants to elect a president, secretary and treasurer from its $10$10 members. In how many ways can the election turn out if each member has an equal chance of being elected to a position and each member can only fill one position?
If there are $26$26 entrants in a particular poker tournament and only the top $3$3 get paid, how many different orderings of the paid places are possible?
$2$2 girls and $3$3 boys are queuing up to purchase their meals at a canteen.
Outcomes
0606C11.2
Know and use the notation n! (with 0! = 1), and the expressions for permutations and combinations of n items taken r at a time.
0606C11.3
Answer simple problems on arrangement and selection.