Una familia consta de un padre, una madre y una hija. La suma de las edades actuales de los tres es de 80 años. Dentro de 22 años, la edad del hijo será la mitad que la de la madre. Si el padre es un año mayor que la madre, ¿Qué edad tiene cada uno actualmente?

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.