Question 199697: (3 pts) A license plate is to consist of three letters followed by two digits. How many different license plates are possible if the first letter must be a vowel (a, e, i, o, u), and repetition of letters is not permitted, but repetition of digits is permitted?
(3 pts) The results of a survey for an airline are shown below
Traveler Male Female Total
Business 47 72 119
Vacation 71 64 135
Total 118 136 254
Use the chart to find the probability that the traveler was
male
on vacation given the traveler was female
male given the traveler was on vacation
(2 pts) In how many ways can 6 instructors be assigned to six sections of a course in mathematics?
(4 pts) At an annual flower show, 7 different entries are to be arranged in a row.
a) How many different arrangements of the entries are possible?
b) If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A license plate is to consist of three letters followed by two digits. How many different license plates are possible if the first letter must be a vowel (a, e, i, o, u), and repetition of letters is not permitted, but repetition of digits is permitted?
Ans: 5*4*3*10*10 = 6000
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(3 pts) The results of a survey for an airline are shown below
Traveler Male Female Total
Business 47 72 119
Vacation 71 64 135
Total 118 136 254
Use the chart to find the probability
that the traveler was male = 118/254
on vacation given the traveler was female = 64/136
male given the traveler was on vacation 71/135
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(2 pts) In how many ways can 6 instructors be assigned to six sections of a course in mathematics?
Ans: 6! = 720 ways
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(4 pts) At an annual flower show, 7 different entries are to be arranged in a row.
Ans: 7! = 5040 ways
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a) How many different arrangements of the entries are possible?
What entries?
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b) If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?
Ans: 3! = 6
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Cheers,
Stan H.
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