Assignment:
Q1. If a bag contains 15 marbles, how many samples of 2 marbles can be drawn from it? How many samples of 4 marbles can be drawn?
Q2. Seven workers decide to send a delegation of 2 to their supervisor to discuss their grievances.
a. How many different delegations are possible?
b. If it is decided that a certain employee must be in the delegation, how many different delegations are possible?
c. If there are 2 women and 5 men in the group, how many delegations would include at least 1 woman?
Provide complete and step by step solution for the question and show calculations and use formulas.