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1. From a group of 12 teachers, how many different committees can be formed consisting four or five members? 2. In how many ways can you select five red cards and two black cards from 10 red cards and nine black cards? 3. The Beta Club has 14 male and 16 female members. A committee composed of three men and three women is to be formed. In how many ways can this be done? 4. How many different committees can be selected from 8 men and 10 women if a committee is composed of three men and three women? 5. Students are to answer four out of five exam questions. In how many different ways can the questions be selected? 6. In how many ways can a committee of four be selected from a group of 8 people? 7. A committee of five is selected from five men and six women. How many committees are possible if there must be at least three men in the committee? 8. From a group of 5 swimmers and 8 runners, an athletic contingent of seven is to be formed. How many teams are possible if there are two swimmers and 5 runners? 9. In how many ways can a research team of five members be formed from a group of 12 scientists of which four are chemists and 8 are physicists if the team must include exactly two chemists? 10. The board of directors of a corporation is composed of 10 members. An executive board with 4 members are to be selected. In how many ways is this possible? 11. How many chords can be formed if there are seven points on the circumference of the circle? 12. Venus visited a create-your-own pizza parlor. Find the number of different pizzas she can create using these toppings -pepperoni, anchovies, bacon, or ham if only 3 toppings are to be selected