A weight of L tons is held up by K cables that share the load equally. When one of the cables breaks, the remaining unbroken cables share the entire load equally. When the last cable breaks, we have a failure. The failure rate of a cable subject to M tons of load is M per year. The lifetimes of the K cables are independent of each other. Let X(t) be the number of cables that are still unbroken at time t. Show that {X(t) : t 0} is a CTMC, and find its generator matrix.