#1 Evaluate the quantity. 3 · P (5, 4) · C (10, 4) #2 The Department of Foreign
ID: 3366437 • Letter: #
Question
#1 Evaluate the quantity.
3 · P(5, 4) · C(10, 4)
#2 The Department of Foreign Languages of a liberal arts college conducted a survey of its recent graduates to determine the foreign language courses they had taken while undergraduates at the college. Of the 530 graduates
(a) How many of the graduates had at least 1 yr of at least one of the three languages?
graduates
(b) How many of the graduates had at least 1 yr of exactly one of the three languages?
graduates
(c) How many of the graduates had less than 1 yr of any of the three languages?
graduates
#3 How many three-digit numbers can be formed from the numerals in the set {1, 2, 3, 4} if the following is true?
(a) Repetition of digits is not allowed
numbers
(b) Repetition of digits is allowed
numbers
#4 In an election being held by the Associated Students Organization, there are eight candidates for president, three for vice-president, five for secretary, and six for treasurer. How many different possible outcomes are there for this election?
outcomes
#5 In how many ways can 10 different compact discs be arranged on a shelf?
ways?
#6 In an election being held by the Associated Students Organization, there are eight candidates for president, three for vice-president, five for secretary, and six for treasurer. How many different possible outcomes are there for this election?
#7 There are eight seniors and seven juniors in the Math Club at Jefferson High School. In how many ways can a math team consisting of four seniors and three juniors be selected from members of the Math Club?
#8 Four people are selected at random. What is the probability that none of the people in this group were born on the same day of the week? (Round your answer to three decimal places.)
#9 A fair die is rolled three times. What is the probability that it shows an even number in the first toss, an even number in the second toss, and a 2 on the third toss? (Assume that the outcomes of the tosses are independent. Round your answer to four decimal places.)
10: Four cards are drawn at random without replacement from a standard deck of 52 playing cards. Find the probability that all four cards are jacks. (Round your answer to six decimal places.)
11:In a survey of 2000 adults, 18 years old and older, the following question was asked: Is your family income keeping pace with the cost of living? The results of the survey follow. (Enter your answers to three decimal places.)
(a) According to the survey, what is the probability that a random person polled said their family income is at least keeping pace with the cost of living?
(b) According to the survey, what is the probability that a random person polled said their family income is falling behind the cost of living?
12: Four cards are drawn at random without replacement from a standard deck of 52 playing cards. Find the probability that all four cards are jacks. (Round your answer to six decimal places.)
#13:Of 350 male and 280 female employees at the home office of Gibraltar Insurance Company, 170 of the men and 190 of the women are on flex-time (flexible working hours). Given that an employee selected at random from this group is on flex-time, what is the probability that the employee is a man? (Round your answer to three decimal places.)
208 had at least one year of Spanish. 174 had at least one year of French. 144 had at least one year of German. 40 had at least one year of Spanish and French. 29 had at least one year of Spanish and German. 23 had at least one year of French and German. 5 had at least one year of all three languages.Explanation / Answer
Solution :
#1
P(5, 4) = PERMUT(5,4) (using excel )
= 120
C(10,4) = COMBIN(10,4) (using excel)
= 210
hence, 3.P(5,4).C(10,4) = 3*120*210
= 75600
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