From a class of 5 girls and 7 boys, a committee consisting of 2 girls and 3 boys is to be formed. How many ways can this be done?

In how many ways can a committee of 5 be selected from a group of 7 males and 3 females, if the committee must have one female?

 A bag contains 7 red and 4 black identical balls. Two balls were picked at random from the bag and replaced each time. Find the probability the two balls were of same colour.

U varies directly as the square root of V when U = 24, V = 9, find the value of V when U = 16.

If B varies inversely as c\(^{\frac{1}{3}}\) and C = 27 when B = 2, find the value of the constant of proportionality K.