To buy a ticket for a weekly state lottery, a person selects 6 integers from 1 to 36, the order not being important. there are 1947792 such combinations of six digits. alex and nine friends want to win the lottery by buying every possible ticket (all 1947792 combinations), and plan to spend 16 hours a day doing it. assume that each person buys one ticket every five seconds. what do you think of this plan? can the project be completed within a week?