Permutation B. INDEPENDENT ASSESSMENTDIRECTIONS: Answer the following problems. Write your answer onaseparate answer sheet.1. From a group of 12 teachers, how many different committees can beformed consisting four or five members?2. In how many ways can you select five red cards and two black cards from10 red cards and nine black cards?3. The Beta Club has 14 male and 16 female members. A committeecomposed of three men and three women is to be formed. In how manyways can this be done?4. How many different committees can be selected from 8 men and 10women if a committee is composed of three men and three women?5. Students are to answer four out of five exam questions. In how manydifferent ways can the questions be selected?6. In how many ways can a committee of four be selected from a group of 8people?7. A committee of five is selected from five men and six women. How manycommittees are possible if there must be at least three men in thecommittee?8. From a group of 5 swimmers and 8 runners, an athletic contingent ofseven is to be formed. How many teams are possible if there are twoswimmers and 5 runners?9. In how many ways can a research team of five members be formed from agroup of 12 scientists of which four are chemists and 8 are physicists if theteam must include exactly two chemists?10. The board of directors of a corporation is composed of 10 members. Anexecutive board with 4 members are to be selected. In how many ways isthis possible?11. How many chords can be formed if there are seven points on thecircumference of the circle?12. Venus visited a create-your-own pizza parlor. Find the number of differentpizzas she can create using these toppings -pepperoni, anchovies, bacon,or ham if only 3 toppings are to be selected?

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1. From a group of 12 teachers, how many different committees can be formed consisting four or five members?