1. A box contains 8 blue balls, 6 white balls, and 4 black balls. Determine the number of ways we can select 4 balls such that:
a. They are all blue
b. The are all white
c. They are all black
d. Two of them are blue, one is white, and one is black
e. Exactly 1 of them is black
f. None of them is blue
2. A box with 12 bulbs contains one that is busted. Determine the number of ways you can select 7 bulbs such that:
a. The busted bulb is included
b. The busted bulb is not included
3. In how many ways can a committee of eight, consisting of a Chairman, a Vice-President, a Secretary, and 5 other members, can be choses from a group of 15 people?
