You want to save ₹120{,}000₹120,000₹, 120, comma, 000 to buy your first self-driving magic carpet. You deposit ₹80{,}000₹80,000₹, 80, comma, 000 in a bank at an interest rate of 5\%5%5, percent per annum.
How many years do you have to wait before you can buy your magic carpet?

Out of five men and five women, we form a committee consisting of four different people. assuming that each committee of size four is equally likely, find the probabilities of the following events: 1. the committee consists of two men and two women 2. the committee has more women than men. 3. the committee has at least one man. for the remainder of the problem assume that alice and bob are among the ten people being considered. 4. both alice and bob are members of the committee.