2022 HCI P2 Q8 A school canteen committee consists of $4$ parents, $2$ student leaders and $4$ teachers, chosen from $10$ parents, $5$ student leaders and $8$ teachers. (a) There
2022 SAJC P2 Q5 A group of $10$ people consists of $9$ men and $1$ woman. Find the number of ways which the group can be seated at a round
2022 DHS P2 Q6 (a) Find the number of ways the letters of the word ABDUCTIONS can be arranged in a circle such that the letters A, O and U
2022 TMJC P2 Q7 (a) A team of $5$ people from a family of $7$ adults and $3$ children is to be selected for a competition. Find the number of
2022 YIJC P2 Q6 A group of $12$ people consist of $5$ men and $7$ women. One of the women is the wife of one of the men. (a) How
2021 ASRJC Promo Q12 Relative to the origin $O$, a point $A$ has position vector $-mathbf{j}+2mathbf{k}$. The plane ${{p}_{1}}$ has equation $mathbf{r}cdot left( begin{matrix}1 \-1 \0 \end{matrix} right)=3$. (i) Find
2021 ACJC Promo Q10 Referred to the origin $O$, the points $A$, $B$ and $C$ have position vectors $4mathbf{i}-2mathbf{j}$, $alpha mathbf{i}-mathbf{j}+2mathbf{k}$ and $-mathbf{i}-7mathbf{j}+beta mathbf{k}$ respectively, where $alpha $ and $beta
2021 JPJC Promo Q9 A plane ${{prod }_{1}}$ has equation $x+y+z=3$. A line passes through the points $P$ and $Q$ with position vectors $mathbf{i}+mathbf{j}+2mathbf{k}$ and $4mathbf{i}+2mathbf{j}-mathbf{k}$ respectively. (i) Find the
2021 CJC Promo Q4 The points $Aleft( 1,0,-2 right)$, $Bleft( 3,-1,-2 right)$ and $Cleft( -3,7,0 right)$ lie on plane ${{p}_{1}}$. Another plane ${{p}_{2}}$ has equation $3x-y+2z=3$. (i) Find a vector
2020 HCI Promo Q9 With respect to an origin $O$, the points $A$,$B$,$C$ and $D$ have position vectors $mathbf{a}=4mathbf{i}$, $mathbf{b}=2mathbf{k}$, $mathbf{c}=3mathbf{i}-5mathbf{j}$ and $mathbf{d}=3mathbf{i}+11mathbf{j}+left( alpha +2 right)mathbf{k}$ where $alpha $ is