A postal carrier charges £8.95 up to 20 kg then 20p for each kg over that weight. Jane wants to send four boxes to the same address. The boxes weigh 6.4 kg, 7.2 kg, 6.3 kg, 6.1 kg.
(a) Which three of the boxes have a total weight nearest to 20 kg but still less than 20
kg?
(b) Work out the total cost of sending all four boxes together.

Out of five men and five women, we form a committee consisting of four different people. assuming that each committee of size four is equally likely, find the probabilities of the following events: 1. the committee consists of two men and two women 2. the committee has more women than men. 3. the committee has at least one man. for the remainder of the problem assume that alice and bob are among the ten people being considered. 4. both alice and bob are members of the committee.