Opgave 1. A class consists of 6 girls and 10 boys. If a committee of three is chosen at random from the class, find the probability that (i) three boys are selected; (ii) exactly two boys are selected; (iii) at least one boy is selected; (iv) exactly two girls are selected.
Opgave 2. Three boys and three girls sit in a row. Find the probability that (i) the three girls sit together, (ii) the boys and the girls sit in alternate seats.