1. How many different committees can be formed from 9 teachers and 48 students if the committee consists of 4 teachers and 3 students? In how many ways can the committee of 7 members be selected? 2. If a club consists of 11 members, how many different arrangements of the president, vice-president, and secretary are possible? The number of possible arrangements 3. Evaluate the expression 7P5= 4. Find the indicated probability. If P(A or B)= 0.6, P(A)=0.4, and P(A or B)=0.35, find P(B) 5. If two states are selected at random from a group of 30 states determine the number of possible outcomes if the group of states are selected with replacement or without replacement. If the states are selected with replacement, there are possible outcomes. 6. One card is selected ar random from a deck of cards. Determine the following probability: A. B. C. D. E. The probability that the card selected is force card is The probability that the card selecting is a 6 or 7 is The probability that the card selected is not a 9 is The probability that the card selected is a black heart is The probability that the card selected is a 7 given it is red is 7. The management at the local auto shop has found that the probability that a car brought into the shop requires an oil change is 0.66, the probability that a car brought into the shop requires brake repair is 0.34,and the probability that a car requires both an oil change and brake repair is 0.22. For a car brought into the shop, determine the probability that the car will require an oil change or brake repair. The probability that the car requires an oil change or brake repair is 8. To use an automated teller machine at a certain bank, you must enter a 4-digit code, using the digits 1-9. How many 4 digit codes are possible if repetition of digits is permitted. There are possible codes 9. How many permutations are there of the letters in the word 'RINSE', if all the letters are used without repetition? The number of permutations is 10. A textbook search committee is considering 11 books for possible adoption. The committee has decided to select 4 of the 11 for future consideration. In how many ways can it do so? They can select different collections of 4 books. 11. From the 8 male and female sales representatives for an insurance company, a team of 3 men and 2 women will be selected to attend a national conference on insurance fraud. In how many can the team of 5 representatives be selected