In how many ways can 6 coloured chalks be arranged, if 2 are of the same colour

Simplify $3\tfrac{1}{2}-(2\tfrac{1}{3}\times 1\tfrac{1}{4})+\tfrac{3}{5}$

If ${{\log }_{10}}2=0.3010$ and${{\log }_{10}}3=0.4771$, evaluate ${{\log }_{10}}4.5$

A father decided to give 20% of his monthly income to his three children as their monthly allowance. The eldest child got 45% of the allowance and the youngest got 25%. How much was the father’s monthly income, if the second child got N3000.

If $\mu $ ={x: x is a positive integer less than 10} and P = {x : x is a prime factor of 30}. Find the compliment of P

Find the value of m if 13_m +24_m =41_m

Evaluate $\frac{{{81}^{\tfrac{3}{4}}}-{{27}^{\tfrac{1}{3}}}}{3\times {{2}^{3}}}$

The Venn diagram above shows a class of 40 students with the games they play. How many of the students play two games only?

If 321₄ is divided by 23₄ and leaves a remainder r, what is the value of r ?

If the interest on N150.00 is N4.50, find the interest on N250.00 for 6 months at the same rate