Raila has 7 different posters to be hanged in her bedroom, living room and kitchen. Assuming she has plans to place at least a poster in each of the 3 rooms how many choices does she have?

From the venn diagram, above, the complement of the set is given by

Simplify $\left( \sqrt{2}+\frac{1}{\sqrt{3}} \right)\left( \sqrt{2}-\frac{1}{\sqrt{3}} \right)$

Rationalize $\frac{2-\sqrt{5}}{3-\sqrt{5}}$

If ${{\log }_{3}}18+{{\log }_{3}}3-{{\log }_{3}}x=\log 3,$ find x

Simplify ${{\left( \frac{16}{81} \right)}^{\tfrac{1}{4}}}\div {{\left( \frac{9}{16} \right)}^{-\tfrac{1}{2}}}$

If the number M,N,Q are in the ratio 5:4:3. Find the value of $\frac{2N-Q}{M}$

A man invested N5000 for 9 months at 4%. What is the simple interest?

Simplify $\frac{3\tfrac{2}{3}\times \tfrac{5}{6}\times \tfrac{2}{3}}{\tfrac{11}{15}\times \tfrac{3}{4}\times \tfrac{2}{27}}$

If 2q3₅ = 77₈, find q