The universal set is $\mathcal{E}=\{x:x\text{ is an integer},\ 40\le x\le50\}$, and $P=\{x:x\text{ is a prime number}\}$ while $Q=\{x:x\text{ is a multiple of }6\}$.
(a(i))[1]
Find the value of $n(P)$.
(a(ii))[1]
List out the elements of $Q$.
(b)[2]
In a group of 25 people, 11 people own both a bicycle and a skateboard, 6 people own neither a bicycle nor a skateboard, $n$ people own a bicycle. Find the smallest and the largest possible values of $n$.
Worked solution & mark scheme
This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “3 ” …