The probability P selecting three distinct numbers out of n numbers is calculated by: P = 2-3/n(n-1)(n-2) Determine how many numbers, n, should be in a lottery game such that the probability of matching three numbers out of m numbers will be at least 1/100,000, but not greater than 1/95,000

For each of the following process: a) sketch the p-v diagram, b)sketch t-s diagram, c) sketch t-v diagram, d) sketch the boundary work on one of the diagrams (a, b or c) and e) sketch the reversible heat transfer on one of the diagrams (a, b or c): 1- isobaric process from compressed liquid to superheated vapor 2- isothermal process from compressed liquid to superheated vapor 3- isentropic process from compressed liquid to superheated vapor