Seven cards, labelled A, B, C, D, E, F, G, are thoroughly shuffled and then dealt out face upwards on a table. Find the probabilities, giving each as a fraction in its simplest form, that

(a) the first three cards to appear are the cards labelled A, B, C, in that order,

(b) the first three cards to appear are the cards labelled A, B, C, but in any order,

(c) the seven cards appear in their original order: A, B, C, D, E, F, G. (NEAB)